story problem

Question

Aaron has Rats Club every 6 days, Walking like a Zombie lessons every 8 days, and chess club every 9 days. If he attended all three today, in how many days will he attend all 3 activities at the same time?

Answer 1

We can find the LCM of 6, 8, and 9

 

6 = 2 x 3 

 

8 = 2 x 2 x 2 

 

9 = 3 x 3 

 

All three of these numbers share no common prime factor

 

The LCM = 2 x 2 x 2 x 3 x 3 = 8 x 9 = 72

 

In 72 days, Aaron will attend all three activities on the same day