# Common Multiples

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].

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To Find Lowest Common Multiple 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.