Common multiples of two or more given numbers are the numbers which can exactly be divided by each of the given numbers.

**Consider the following.**

**(i)** Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, …………etc.

Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, …………… etc.

Therefore, common multiples of 3 and 4 = 12, 24, ………..etc.

[*It can easily be seen that each of the common multiples 12, 24, etc., is exactly divisible by both 3 and 4*].

**(ii)** Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ………… etc.

Multiples of 5 are: 5, 10, 15, 20, 25, ………… etc.

Therefore, common multiples of 2 and 5 = 10, 20, ………..etc.

[*It can easily be seen that each of the common multiples 10, 20, etc., is exactly divisible by both 2 and 5*].

**(iii)** Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, ……etc.

Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, ………… etc.

Multiples of 6 are = 6, 12, 18, 24, …………… etc.

Therefore, common multiples of 2, 3 and 6 = 6, 12, 18, 24, ………..etc.

[*It can easily be seen that each of the common multiples 6, 12, 18, 24, etc., is exactly divisible by all three numbers 2, 3 and 6*].

**Common Multiples.****Least Common Multiple (L.C.M).****To find Least Common Multiple by using Prime Factorization Method.****Examples to find Least Common Multiple by using Prime Factorization Method.**

**To Find Lowest Common Multiple by using Division Method**

**Examples to find Least Common Multiple of two numbers by using Division Method****Examples to find Least Common Multiple of three numbers by using Division Method**

**Relationship between H.C.F. and L.C.M.**

**Worksheet on H.C.F. and L.C.M.**

**Word problems on H.C.F. and L.C.M.**

**Worksheet on word problems on H.C.F. and L.C.M.**

**5th Grade Numbers Page** **5th Grade Math Problems** **From Common Multiples to HOME PAGE**

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