Question

The least common multiple of 4, 5, 6 is ___

Answer 1

The least common multiple or L.C.M of a group of numbers is the smallest number that is a multiple of all the numbers.

So, to find the L.C.M of 4,5 & 6 let's have a look at the factors of each of them.

Factors of 4 - $2\times 2$

Factors of 5 - $1\times 5$

Factors of 6 - $2\times 3$

To find the L.C.M we'll take all the numbers that appeared in factors and with their maximum power.

Smallest number which is a multiple of all these numbers will be - $2\times 2\times 3\times 5$ = 60.