## Find the LCD for Fractions with Unlike Denominators

Name
Date

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
Find the factors of of denominators 6 and 12
Factors of 6
 2 6 3 3 1
Factors of 12
 2 12 2 6 3 3 1
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
2
Find the LCD of 9/12 and 10/24
LCD = 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 12 2 6 3 3 1
Factors of 24
 2 24 2 12 2 6 3 3 1
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
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
Find the factors of of denominators 36 , 54 and 30
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 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
4
Find the LCD of 8/18 and 8/12
LCD = 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 18 3 9 3 3 1
Factors of 12
 2 12 2 6 3 3 1
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
5
Find the LCD of 4/12 and 9/32
LCD = 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 12 2 6 3 3 1
Factors of 32
 2 32 2 16 2 8 2 4 2 2 1
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
6
Find the LCD of 10/45 and 5/15
LCD = 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 45 3 15 5 5 1
Factors of 15
 3 15 5 5 1
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
7
Find the LCD of 4/15 and 9/25
LCD = 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 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
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
Find the factors of of denominators 15 and 27
Factors of 15
 3 15 5 5 1
Factors of 27
 3 27 3 9 3 3 1
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
9
Find the LCD of 8/21 and 10/6
LCD = 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 21 7 7 1
Factors of 6
 2 6 3 3 1
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
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
Find the factors of of denominators 10 , 15 and 25
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 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
11
Find the LCD of 9/12 and 5/16
LCD = 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 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 = 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
Find the factors of of denominators 15 , 6 and 18
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 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
13
Find the LCD of 7/15 and 4/6
LCD = 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 15 5 5 1
Factors of 6
 2 6 3 3 1
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
14
Find the LCD of 7/20 and 4/12
LCD = 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 20 2 10 5 5 1
Factors of 12
 2 12 2 6 3 3 1
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
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
Find the factors of of denominators 24 , 27 and 9
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 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
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
Find the factors of of denominators 10 , 12 and 16
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 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
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
Find the factors of of denominators 20 , 15 and 10
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 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
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
Find the factors of of denominators 24 , 12 and 36
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 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
19
Find the LCD of 6/8 and 10/16
LCD = 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 8 2 4 2 2 1
Factors of 16
 2 16 2 8 2 4 2 2 1
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
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
Find the factors of of denominators 30 , 35 and 10
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 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

# Finding Least Common Denominator Worksheet

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.

How to Use this Worksheet

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.

Answers Key

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.

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