# What is the least common multiple of the set of numbers 8, 12, 16, 36?

##### 2 Answers

Sep 4, 2016

144

#### Explanation:

So the lowest common multiple must be

Or 144

Sep 5, 2016

#### Explanation:

The first thing to notice is that:

8 is a factor of 16 and

12 is a factor of 36.

Therefore we do not need to consider 8 and 12 at all,

Find the LCM of 16 and 36.

Find the product of their prime factors.

LCM =

A multiple of 16 must include

A multiple of 36 must include

The LCM must have the highest of each, hence