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Least Common Multiples




Multiples and common multiples :

Multiples:

Multiples of a given numbers are all those numbers which can be divided completely by the given number.

Example:

Multiples of 4 are 4, 8, 12, 16....etc.

Common multiples:

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

Example:

Multiples of 3 are 3, 6, 9, 12, 15, 18, 2, 24,.......

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

.'. Common multiples of 3 and 4 = 12, 24,.....

Least common multiples(L.C.M):

The least common multiples of two or more given numbers is the least number which is exactly divisible by each of the given numbers.

Methods of finding L.C.M: