Question

What is the least common multiple of 3, 4, and 5?

Answer 1

`:. LCM = 3 xx 4 xx 5 = 60`

Explanation:

It is not necessary to break these values into their prime factors.
We can find the LCM by inspection.

`3 and 5` are already prime, but we should notice that `3,4 and 5` do not have any common factors at all.

The LCM must be divisible by all them, so there needs to be a `3`, a `4` and a `5`.

`:. LCM = 3 xx 4 xx 5 = 60`

The LCM of any numbers is found from their product divided by any common factors to avoid duplicates.