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?

Question

asked Jun 22, 2019 132k views

1 Answer

Sosnus · Answer 1 · 2019-06-29T03:02:12+0000

Answer:

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.