Question

What is the least common multiple of 12, 18, and 5?

Answer 1

`180`

Explanation:

Start by finding the prime factorisations of each of these numbers:

`12 = 2 xx 2 xx 3`

`18 = 2 xx 3 xx 3`

`5 = 5`

So the smallest positive integer that includes all of these factors in these multiplicities is:

`180 = 2 xx 2 xx 3 xx 3 xx 5`