Question

A parts distributor's customers always order spark plugs in groups of 4, 6, or 8. Which is the smallest quantity the supplier has that could accommodate every order?

Answer 1

24 spark plugs

Explanation:

To find smallest quantity that could accommodate every order we will find LCM of 4,6 and 8.

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

Multiples of 6 are: 6,12,18,24,30,36,42,..

Multiples of 8 are: 8,16,24,32,40,..

We can see that LCM of 4, 6 and 8 is 24. Therefore, order of 24 spark plugs will accommodate every order.