Question

A local radio station is having a contest in which every 4th caller receives a t-shirt and every 10th caller receives tickets to a concert. Which will be the first caller to receive both prizes? QUESTION: Would you use the GCF or the LCM to solve this problem? *

Answer 1

We would solve the above question using the LCM

The 20th Caller will receive both prizes

Explanation:

We would solve the above question using the LCM Method

Find and list multiples of 4 and 10 until the first common multiple is found. This is the lowest common multiple.

Multiples of 4:

4, 8, 12, 16, 20, 24, 28

Multiples of 10:

10, 20, 30, 40

Therefore,

LCM(4, 10) = 20

Hence, the 20th Caller will receive both prizes