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Name
Grade
School

Date
Questions20
Score

1

Find the LCM of 8 and 12

2

Find the LCM of 9 and 12

3

Find the LCM of 6 and 8

4

Find the LCM of 8 and 10

5

Find the LCM of 12 and 15

6

Find the LCM of 12 and 18

7

Find the LCM of 12 and 16

8

Find the LCM of 6 and 9

9

Find the LCM of 24 and 36

10

Find the LCM of 9 and 15

11

Find the LCM of 8 and 9

12

Find the LCM of 4 and 5

13

Find the LCM of 18 and 24

14

Find the LCM of 10 and 15

15

Find the LCM of 16 and 24

16

Find the LCM of 4 and 10

17

Find the LCM of 10 and 12

18

Find the LCM of 4 and 6

19

Find the LCM of 15 and 25

20

Find the LCM of 5 and 6

Answers Key

1

Find the LCM of 8 and 12

24 is the LCM of 8 and 12

Factors of 8

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 8 = 2 x 2 x 2

Factors of 12 = 2 x 2 x 3

Multiply all the common and uncommon factors of 8 and 12.

2 x 2 x 2 x 3 = 24

LCM(8, 12) = 24

2

Find the LCM of 9 and 12

36 is the LCM of 9 and 12

Factors of 9

3 | 9 |

3 | 3 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 9 = 3 x 3

Factors of 12 = 2 x 2 x 3

Multiply all the common and uncommon factors of 9 and 12.

2 x 2 x 3 x 3 = 36

LCM(9, 12) = 36

3

Find the LCM of 6 and 8

24 is the LCM of 6 and 8

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 8

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 6 = 2 x 3

Factors of 8 = 2 x 2 x 2

Multiply all the common and uncommon factors of 6 and 8.

2 x 2 x 2 x 3 = 24

LCM(6, 8) = 24

4

Find the LCM of 8 and 10

40 is the LCM of 8 and 10

Factors of 8

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 8 = 2 x 2 x 2

Factors of 10 = 2 x 5

Multiply all the common and uncommon factors of 8 and 10.

2 x 2 x 2 x 5 = 40

LCM(8, 10) = 40

5

Find the LCM of 12 and 15

60 is the LCM of 12 and 15

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 12 = 2 x 2 x 3

Factors of 15 = 3 x 5

Multiply all the common and uncommon factors of 12 and 15.

2 x 2 x 3 x 5 = 60

LCM(12, 15) = 60

6

Find the LCM of 12 and 18

36 is the LCM of 12 and 18

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 18

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 12 = 2 x 2 x 3

Factors of 18 = 2 x 3 x 3

Multiply all the common and uncommon factors of 12 and 18.

2 x 2 x 3 x 3 = 36

LCM(12, 18) = 36

7

Find the LCM of 12 and 16

48 is the LCM of 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 all the common and uncommon factors of 12 and 16.

2 x 2 x 2 x 2 x 3 = 48

LCM(12, 16) = 48

8

Find the LCM of 6 and 9

18 is the LCM of 6 and 9

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 9

3 | 9 |

3 | 3 |

1 |

Factors of 6 = 2 x 3

Factors of 9 = 3 x 3

Multiply all the common and uncommon factors of 6 and 9.

2 x 3 x 3 = 18

LCM(6, 9) = 18

9

Find the LCM of 24 and 36

72 is the LCM of 24 and 36

Factors of 24

2 | 24 |

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 36 = 2 x 2 x 3 x 3

Multiply all the common and uncommon factors of 24 and 36.

2 x 2 x 2 x 3 x 3 = 72

LCM(24, 36) = 72

10

Find the LCM of 9 and 15

45 is the LCM of 9 and 15

Factors of 9

3 | 9 |

3 | 3 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 9 = 3 x 3

Factors of 15 = 3 x 5

Multiply all the common and uncommon factors of 9 and 15.

3 x 3 x 5 = 45

LCM(9, 15) = 45

11

Find the LCM of 8 and 9

72 is the LCM of 8 and 9

Factors of 8

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 9

3 | 9 |

3 | 3 |

1 |

Factors of 8 = 2 x 2 x 2

Factors of 9 = 3 x 3

Multiply all the common and uncommon factors of 8 and 9.

2 x 2 x 2 x 3 x 3 = 72

LCM(8, 9) = 72

12

Find the LCM of 4 and 5

20 is the LCM of 4 and 5

Factors of 4

2 | 4 |

2 | 2 |

1 |

Factors of 5

5 | 5 |

1 |

Factors of 4 = 2 x 2

Factors of 5 = 5

Multiply all the common and uncommon factors of 4 and 5.

2 x 2 x 5 = 20

LCM(4, 5) = 20

13

Find the LCM of 18 and 24

72 is the LCM of 18 and 24

Factors of 18

2 | 18 |

3 | 9 |

3 | 3 |

1 |

Factors of 24

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 18 = 2 x 3 x 3

Factors of 24 = 2 x 2 x 2 x 3

Multiply all the common and uncommon factors of 18 and 24.

2 x 2 x 2 x 3 x 3 = 72

LCM(18, 24) = 72

14

Find the LCM of 10 and 15

30 is the LCM of 10 and 15

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 15

3 | 15 |

5 | 5 |

1 |

Factors of 10 = 2 x 5

Factors of 15 = 3 x 5

Multiply all the common and uncommon factors of 10 and 15.

2 x 3 x 5 = 30

LCM(10, 15) = 30

15

Find the LCM of 16 and 24

48 is the LCM of 16 and 24

Factors of 16

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Factors of 24

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 16 = 2 x 2 x 2 x 2

Factors of 24 = 2 x 2 x 2 x 3

Multiply all the common and uncommon factors of 16 and 24.

2 x 2 x 2 x 2 x 3 = 48

LCM(16, 24) = 48

16

Find the LCM of 4 and 10

20 is the LCM of 4 and 10

Factors of 4

2 | 4 |

2 | 2 |

1 |

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 4 = 2 x 2

Factors of 10 = 2 x 5

Multiply all the common and uncommon factors of 4 and 10.

2 x 2 x 5 = 20

LCM(4, 10) = 20

17

Find the LCM of 10 and 12

60 is the LCM of 10 and 12

Factors of 10

2 | 10 |

5 | 5 |

1 |

Factors of 12

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Factors of 10 = 2 x 5

Factors of 12 = 2 x 2 x 3

Multiply all the common and uncommon factors of 10 and 12.

2 x 2 x 3 x 5 = 60

LCM(10, 12) = 60

18

Find the LCM of 4 and 6

12 is the LCM of 4 and 6

Factors of 4

2 | 4 |

2 | 2 |

1 |

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 4 = 2 x 2

Factors of 6 = 2 x 3

Multiply all the common and uncommon factors of 4 and 6.

2 x 2 x 3 = 12

LCM(4, 6) = 12

19

Find the LCM of 15 and 25

75 is the LCM of 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 all the common and uncommon factors of 15 and 25.

3 x 5 x 5 = 75

LCM(15, 25) = 75

20

Find the LCM of 5 and 6

30 is the LCM of 5 and 6

Factors of 5

5 | 5 |

1 |

Factors of 6

2 | 6 |

3 | 3 |

1 |

Factors of 5 = 5

Factors of 6 = 2 x 3

Multiply all the common and uncommon factors of 5 and 6.

2 x 3 x 5 = 30

LCM(5, 6) = 30

LCM of 2 numbers worksheet with answers to practice & learn 6th grade math problems on least common multiple 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 worksheet for how to find LCM of given two numbers.

In this sixth grade math worksheet, students are required to find what is the least common multiple of given two numbers. To find the LCM of numbers, find the factors of both numbers. The product of common & independent factors of both numbers form LCM of given 2 numbers.

Teachers, parents or students can check or validate the solved math workbook of 6th grade math questions on finding the LCM of given two numbers by using the corresponding answers key which has step by step work for each exercise.

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