LEAST COMMON MULTIPLE BY DIVISION METHOD WORKSHEET

In each case, find the least common multiple of the numbers by division method.

Problem 1 :

4 and 6

Problem 2 :

2 and 3

Problem 3 :

4 and 5

Problem 4 :

3 and 6

Problem 5 :

12 and 18

Problem 6 :

24 and 60

Problem 7 :

4, 5 and 8

Problem 8 :

48, 72 and 108

Problem 9 :

4, 6, 8 and 12

Problem 10 :

2, 3, 4 and 5

Problem 11 :

2, 4, 5 and 8

Problem 12 :

3, 6, 7 and 14

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Answers

1. Answer :

4 and 6

Using L division, divide both the numbers by a common divisor. Continue this process, until you get a common divisor for both the numbers.

lcm5.png

The least common multiple of 4 and 6 is

= 2 x 2 x 3

= 12

2. Answer :

2 and 3

There is no common divisor for both 2 and 3 other than 1.

So, the least common multiple of 2 and 3 is

= 2 x 3

= 6

3. Answer :

4 and 5

There is no common divisor for both 4 and 5 other than 1.

So, the least common multiple of 4 and 5 is

= 4 x 5

= 20

4. Answer :

3 and 6

Using L division, divide both the numbers by a common divisor. Continue this process, until you get a common divisor for both the numbers.

lcm6.png

The least common multiple of 4 and 6 is

= 3 x 1 x 2

= 6

5. Answer :

12 and 18

Using L division, divide both the numbers by a common divisor. Continue this process, until you get a common divisor for both the numbers.

lcm7.png

The least common multiple of 12 and 18 is

= 2 x 3 x 2 x 3

= 36

6. Answer :

24 and 60

Using L division, divide both the numbers by a common divisor. Continue this process, until you get a common divisor for both the numbers.

lcm3.png

The least common multiple of 24 and 60 is

= 2 x 2 x 3 x 2 x 5

= 120

7. Answer :

4, 5 and 8

Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.

lcm8.png

The least common multiple of 4, 5 and 8 is

= 2 x 2 x 1 x 5 x 2

= 40

8. Answer :

48, 72 and 108

Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.

lcm4.png

The least common multiple of 48, 72 and 108 is

= 2 x 2 x 3 x 2 x 3 x 2 x 1 x 3

= 432

9. Answer :

4, 6, 8 and 12

Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.

lcm9.png

The least common multiple of 4, 6, 8 and 12 is

= 2 x 2 x 3 x 1 x 1 x 2 x 1

= 24

10. Answer :

2, 3, 4 and 5

Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.

lcm10.png

The least common multiple of 2, 3, 4 and 5 is

= 2 x 1 x 3 x 2 x 5

= 60

11. Answer :

2, 4, 5 and 8

Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.

lcm11.png

The least common multiple of 2, 4, 5 and 8 is

= 2 x 2 x 1 x 1 x 5 x 2

= 40

12. Answer :

3, 6, 7 and 14

Using L division, divide the given numbers by a common divisor. Continue this process, until you get a common divisor at least for any of the two numbers.

lcm12.png

The least common multiple of 3, 6, 7 and 14 is

= 3 x 7 x 2 x 1 x 1 x 1 x 1

= 42

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