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Name
Grade
School

Date
Questions20
Score

1

Find the LCD of 4/6 and 8/12

2

Find the LCD of 9/12 and 10/24

3

Find the LCD of 8/36, 10/54 and 9/30

4

Find the LCD of 8/18 and 8/12

5

Find the LCD of 4/12 and 9/32

6

Find the LCD of 10/45 and 5/15

7

Find the LCD of 4/15 and 9/25

8

Find the LCD of 10/15 and 10/27

9

Find the LCD of 8/21 and 10/6

10

Find the LCD of 5/10, 8/15 and 6/25

11

Find the LCD of 9/12 and 5/16

12

Find the LCD of 8/15, 3/6 and 10/18

13

Find the LCD of 7/15 and 4/6

14

Find the LCD of 7/20 and 4/12

15

Find the LCD of 10/24, 10/27 and 8/9

16

Find the LCD of 7/10, 10/12 and 10/16

17

Find the LCD of 8/20, 9/15 and 5/10

18

Find the LCD of 8/24, 9/12 and 7/36

19

Find the LCD of 6/8 and 10/16

20

Find the LCD of 10/30, 8/35 and 7/10

Answers Key

1

Find the LCD of 4/6 and 8/12

LCD = 12

In equivalent fraction 4/6 =8/12 ,8/12 =8/12

In equivalent fraction 4/6 =8/12 ,8/12 =8/12

Find the factors of of denominators 6 and 12

Factors of 6 = 2 x 3

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 = 12 LCD of46 ,812 = 12 Equivalent fractions with LCD

4/6 =8/12 8/12 =8/12

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 = 12 LCD of46 ,812 = 12 Equivalent fractions with LCD

4/6 =8/12 8/12 =8/12

2

Find the LCD of 9/12 and 10/24

LCD = 24

In equivalent fraction 9/12 =18/24 ,10/24 =10/24

In equivalent fraction 9/12 =18/24 ,10/24 =10/24

Find the factors of of denominators 12 and 24

Factors of 12 = 2 x 2 x 3

Factors of 24 = 2 x 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 = 24 LCD of912 ,1024 = 24 Equivalent fractions with LCD

9/12 =18/24 10/24 =10/24

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 24

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 24 = 2 x 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 = 24 LCD of912 ,1024 = 24 Equivalent fractions with LCD

9/12 =18/24 10/24 =10/24

3

Find the LCD of 8/36, 10/54 and 9/30

LCD = 540

In equivalent fraction 8/36 =120/540 ,10/54 =100/540 ,9/30 =162/540

In equivalent fraction 8/36 =120/540 ,10/54 =100/540 ,9/30 =162/540

Find the factors of of denominators 36 , 54 and 30

Factors of 36 = 2 x 2 x 3 x 3

Factors of 54 = 2 x 3 x 3 x 3

Factors of 30 = 2 x 3 x 5

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 3 x 3 x 5 = 540 LCD of836 ,1054 ,1030 = 540 Equivalent fractions with LCD

8/36 =120/540 10/54 =100/540 9/30 =162/540

Factors of 36

2 | 36 |

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 54

2 | 54 |

3 | 27 |

3 | 9 |

3 | 3 |

1 |

Factors of 30

2 | 30 |

3 | 15 |

5 | 5 |

1 |

Factors of 54 = 2 x 3 x 3 x 3

Factors of 30 = 2 x 3 x 5

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 3 x 3 x 5 = 540 LCD of836 ,1054 ,1030 = 540 Equivalent fractions with LCD

8/36 =120/540 10/54 =100/540 9/30 =162/540

4

Find the LCD of 8/18 and 8/12

LCD = 36

In equivalent fraction 8/18 =16/36 ,8/12 =24/36

In equivalent fraction 8/18 =16/36 ,8/12 =24/36

Find the factors of of denominators 18 and 12

Factors of 18 = 2 x 3 x 3

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 3 = 36 LCD of818 ,812 = 36 Equivalent fractions with LCD

8/18 =16/36 8/12 =24/36

Factors of 18

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 3 = 36 LCD of818 ,812 = 36 Equivalent fractions with LCD

8/18 =16/36 8/12 =24/36

5

Find the LCD of 4/12 and 9/32

LCD = 96

In equivalent fraction 4/12 =32/96 ,9/32 =27/96

In equivalent fraction 4/12 =32/96 ,9/32 =27/96

Find the factors of of denominators 12 and 32

Factors of 12 = 2 x 2 x 3

Factors of 32 = 2 x 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 2 x 3 = 96 LCD of412 ,932 = 96 Equivalent fractions with LCD

4/12 =32/96 9/32 =27/96

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 32

2 | 32 |

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 32 = 2 x 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 2 x 3 = 96 LCD of412 ,932 = 96 Equivalent fractions with LCD

4/12 =32/96 9/32 =27/96

6

Find the LCD of 10/45 and 5/15

LCD = 45

In equivalent fraction 10/45 =10/45 ,5/15 =15/45

In equivalent fraction 10/45 =10/45 ,5/15 =15/45

Find the factors of of denominators 45 and 15

Factors of 45 = 3 x 3 x 5

Factors of 15 = 3 x 5

Multiply the common & uncommon factors of all denominators

3 x 3 x 5 = 45 LCD of1045 ,515 = 45 Equivalent fractions with LCD

10/45 =10/45 5/15 =15/45

Factors of 45

3 | 45 |

3 | 15 |

5 | 5 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 15 = 3 x 5

Multiply the common & uncommon factors of all denominators

3 x 3 x 5 = 45 LCD of1045 ,515 = 45 Equivalent fractions with LCD

10/45 =10/45 5/15 =15/45

7

Find the LCD of 4/15 and 9/25

LCD = 75

In equivalent fraction 4/15 =20/75 ,9/25 =27/75

In equivalent fraction 4/15 =20/75 ,9/25 =27/75

Find the factors of of denominators 15 and 25

Factors of 15 = 3 x 5

Factors of 25 = 5 x 5

Multiply the common & uncommon factors of all denominators

3 x 5 x 5 = 75 LCD of415 ,925 = 75 Equivalent fractions with LCD

4/15 =20/75 9/25 =27/75

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 25

5 | 25 |

5 | 5 |

1 |

Factors of 25 = 5 x 5

Multiply the common & uncommon factors of all denominators

3 x 5 x 5 = 75 LCD of415 ,925 = 75 Equivalent fractions with LCD

4/15 =20/75 9/25 =27/75

8

Find the LCD of 10/15 and 10/27

LCD = 135

In equivalent fraction 10/15 =90/135 ,10/27 =50/135

In equivalent fraction 10/15 =90/135 ,10/27 =50/135

Find the factors of of denominators 15 and 27

Factors of 15 = 3 x 5

Factors of 27 = 3 x 3 x 3

Multiply the common & uncommon factors of all denominators

3 x 3 x 3 x 5 = 135 LCD of1015 ,1027 = 135 Equivalent fractions with LCD

10/15 =90/135 10/27 =50/135

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 27

3 | 27 |

3 | 9 |

3 | 3 |

1 |

Factors of 27 = 3 x 3 x 3

Multiply the common & uncommon factors of all denominators

3 x 3 x 3 x 5 = 135 LCD of1015 ,1027 = 135 Equivalent fractions with LCD

10/15 =90/135 10/27 =50/135

9

Find the LCD of 8/21 and 10/6

LCD = 42

In equivalent fraction 8/21 =16/42 ,10/6 =70/42

In equivalent fraction 8/21 =16/42 ,10/6 =70/42

Find the factors of of denominators 21 and 6

Factors of 21 = 3 x 7

Factors of 6 = 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 7 = 42 LCD of821 ,106 = 42 Equivalent fractions with LCD

8/21 =16/42 10/6 =70/42

Factors of 21

3 | 21 |

7 | 7 |

1 |

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 6 = 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 7 = 42 LCD of821 ,106 = 42 Equivalent fractions with LCD

8/21 =16/42 10/6 =70/42

10

Find the LCD of 5/10, 8/15 and 6/25

LCD = 150

In equivalent fraction 5/10 =75/150 ,8/15 =80/150 ,6/25 =36/150

In equivalent fraction 5/10 =75/150 ,8/15 =80/150 ,6/25 =36/150

Find the factors of of denominators 10 , 15 and 25

Factors of 10 = 2 x 5

Factors of 15 = 3 x 5

Factors of 25 = 5 x 5

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 x 5 = 150 LCD of510 ,815 ,825 = 150 Equivalent fractions with LCD

5/10 =75/150 8/15 =80/150 6/25 =36/150

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 25

5 | 25 |

5 | 5 |

1 |

Factors of 15 = 3 x 5

Factors of 25 = 5 x 5

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 x 5 = 150 LCD of510 ,815 ,825 = 150 Equivalent fractions with LCD

5/10 =75/150 8/15 =80/150 6/25 =36/150

11

Find the LCD of 9/12 and 5/16

LCD = 48

In equivalent fraction 9/12 =36/48 ,5/16 =15/48

In equivalent fraction 9/12 =36/48 ,5/16 =15/48

Find the factors of of denominators 12 and 16

Factors of 12 = 2 x 2 x 3

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 3 = 48 LCD of912 ,516 = 48 Equivalent fractions with LCD

9/12 =36/48 5/16 =15/48

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 16

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 3 = 48 LCD of912 ,516 = 48 Equivalent fractions with LCD

9/12 =36/48 5/16 =15/48

12

Find the LCD of 8/15, 3/6 and 10/18

LCD = 90

In equivalent fraction 8/15 =48/90 ,3/6 =45/90 ,10/18 =50/90

In equivalent fraction 8/15 =48/90 ,3/6 =45/90 ,10/18 =50/90

Find the factors of of denominators 15 , 6 and 18

Factors of 15 = 3 x 5

Factors of 6 = 2 x 3

Factors of 18 = 2 x 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 3 x 5 = 90 LCD of815 ,36 ,318 = 90 Equivalent fractions with LCD

8/15 =48/90 3/6 =45/90 10/18 =50/90

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 18

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 6 = 2 x 3

Factors of 18 = 2 x 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 3 x 5 = 90 LCD of815 ,36 ,318 = 90 Equivalent fractions with LCD

8/15 =48/90 3/6 =45/90 10/18 =50/90

13

Find the LCD of 7/15 and 4/6

LCD = 30

In equivalent fraction 7/15 =14/30 ,4/6 =20/30

In equivalent fraction 7/15 =14/30 ,4/6 =20/30

Find the factors of of denominators 15 and 6

Factors of 15 = 3 x 5

Factors of 6 = 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 = 30 LCD of715 ,46 = 30 Equivalent fractions with LCD

7/15 =14/30 4/6 =20/30

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 6 = 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 = 30 LCD of715 ,46 = 30 Equivalent fractions with LCD

7/15 =14/30 4/6 =20/30

14

Find the LCD of 7/20 and 4/12

LCD = 60

In equivalent fraction 7/20 =21/60 ,4/12 =20/60

In equivalent fraction 7/20 =21/60 ,4/12 =20/60

Find the factors of of denominators 20 and 12

Factors of 20 = 2 x 2 x 5

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 5 = 60 LCD of720 ,412 = 60 Equivalent fractions with LCD

7/20 =21/60 4/12 =20/60

Factors of 20

2 | 20 |

2 | 10 |

5 | 5 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 5 = 60 LCD of720 ,412 = 60 Equivalent fractions with LCD

7/20 =21/60 4/12 =20/60

15

Find the LCD of 10/24, 10/27 and 8/9

LCD = 216

In equivalent fraction 10/24 =90/216 ,10/27 =80/216 ,8/9 =192/216

In equivalent fraction 10/24 =90/216 ,10/27 =80/216 ,8/9 =192/216

Find the factors of of denominators 24 , 27 and 9

Factors of 24 = 2 x 2 x 2 x 3

Factors of 27 = 3 x 3 x 3

Factors of 9 = 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 x 3 x 3 = 216 LCD of1024 ,1027 ,109 = 216 Equivalent fractions with LCD

10/24 =90/216 10/27 =80/216 8/9 =192/216

Factors of 24

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 27

3 | 27 |

3 | 9 |

3 | 3 |

1 |

Factors of 9

3 | 9 |

3 | 3 |

1 |

Factors of 27 = 3 x 3 x 3

Factors of 9 = 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 x 3 x 3 = 216 LCD of1024 ,1027 ,109 = 216 Equivalent fractions with LCD

10/24 =90/216 10/27 =80/216 8/9 =192/216

16

Find the LCD of 7/10, 10/12 and 10/16

LCD = 240

In equivalent fraction 7/10 =168/240 ,10/12 =200/240 ,10/16 =150/240

In equivalent fraction 7/10 =168/240 ,10/12 =200/240 ,10/16 =150/240

Find the factors of of denominators 10 , 12 and 16

Factors of 10 = 2 x 5

Factors of 12 = 2 x 2 x 3

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 3 x 5 = 240 LCD of710 ,1012 ,1016 = 240 Equivalent fractions with LCD

7/10 =168/240 10/12 =200/240 10/16 =150/240

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 16

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 12 = 2 x 2 x 3

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 x 3 x 5 = 240 LCD of710 ,1012 ,1016 = 240 Equivalent fractions with LCD

7/10 =168/240 10/12 =200/240 10/16 =150/240

17

Find the LCD of 8/20, 9/15 and 5/10

LCD = 60

In equivalent fraction 8/20 =24/60 ,9/15 =36/60 ,5/10 =30/60

In equivalent fraction 8/20 =24/60 ,9/15 =36/60 ,5/10 =30/60

Find the factors of of denominators 20 , 15 and 10

Factors of 20 = 2 x 2 x 5

Factors of 15 = 3 x 5

Factors of 10 = 2 x 5

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 5 = 60 LCD of820 ,915 ,910 = 60 Equivalent fractions with LCD

8/20 =24/60 9/15 =36/60 5/10 =30/60

Factors of 20

2 | 20 |

2 | 10 |

5 | 5 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 15 = 3 x 5

Factors of 10 = 2 x 5

Multiply the common & uncommon factors of all denominators

2 x 2 x 3 x 5 = 60 LCD of820 ,915 ,910 = 60 Equivalent fractions with LCD

8/20 =24/60 9/15 =36/60 5/10 =30/60

18

Find the LCD of 8/24, 9/12 and 7/36

LCD = 72

In equivalent fraction 8/24 =24/72 ,9/12 =54/72 ,7/36 =14/72

In equivalent fraction 8/24 =24/72 ,9/12 =54/72 ,7/36 =14/72

Find the factors of of denominators 24 , 12 and 36

Factors of 24 = 2 x 2 x 2 x 3

Factors of 12 = 2 x 2 x 3

Factors of 36 = 2 x 2 x 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 x 3 = 72 LCD of824 ,912 ,936 = 72 Equivalent fractions with LCD

8/24 =24/72 9/12 =54/72 7/36 =14/72

Factors of 24

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 36

2 | 36 |

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Factors of 36 = 2 x 2 x 3 x 3

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 3 x 3 = 72 LCD of824 ,912 ,936 = 72 Equivalent fractions with LCD

8/24 =24/72 9/12 =54/72 7/36 =14/72

19

Find the LCD of 6/8 and 10/16

LCD = 16

In equivalent fraction 6/8 =12/16 ,10/16 =10/16

In equivalent fraction 6/8 =12/16 ,10/16 =10/16

Find the factors of of denominators 8 and 16

Factors of 8 = 2 x 2 x 2

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 = 16 LCD of68 ,1016 = 16 Equivalent fractions with LCD

6/8 =12/16 10/16 =10/16

Factors of 8

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 16

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 16 = 2 x 2 x 2 x 2

Multiply the common & uncommon factors of all denominators

2 x 2 x 2 x 2 = 16 LCD of68 ,1016 = 16 Equivalent fractions with LCD

6/8 =12/16 10/16 =10/16

20

Find the LCD of 10/30, 8/35 and 7/10

LCD = 210

In equivalent fraction 10/30 =70/210 ,8/35 =48/210 ,7/10 =147/210

In equivalent fraction 10/30 =70/210 ,8/35 =48/210 ,7/10 =147/210

Find the factors of of denominators 30 , 35 and 10

Factors of 30 = 2 x 3 x 5

Factors of 35 = 5 x 7

Factors of 10 = 2 x 5

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 x 7 = 210 LCD of1030 ,835 ,810 = 210 Equivalent fractions with LCD

10/30 =70/210 8/35 =48/210 7/10 =147/210

Factors of 30

2 | 30 |

3 | 15 |

5 | 5 |

1 |

Factors of 35

5 | 35 |

7 | 7 |

1 |

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 35 = 5 x 7

Factors of 10 = 2 x 5

Multiply the common & uncommon factors of all denominators

2 x 3 x 5 x 7 = 210 LCD of1030 ,835 ,810 = 210 Equivalent fractions with LCD

10/30 =70/210 8/35 =48/210 7/10 =147/210

Least Common Denominator (LCD) worksheet with answers to practice & learn 6th grade math problems is available online for free in printable & downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 divisors and factors worksheets to practice finding LCD for fractions with unlike denominators.

n this sixth grade divisors and factors worksheet, students are required to find the least common denominator for fractions with unlike denominators. LCD is very useful in fractions addition and subtraction where the fractions having no common denominators. To find the LCD of fractions, find the prime factors for each denominator of fractions, mark all the common and uncommon factors between the factors of denominators and multiply the common factors. The product of all common and uncommon factors of all denominators is the least common denominator of the fractions.

Teachers, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find LCD of fractions having unlike denominators.

Students, teachers or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems on finding least common denominator for fractions with unlike denominators.

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