math question multiple choice

Question

Sharon gets her nails done every 5 days and Jessie gets her nails done every 4 days. Melissa gets her nails done every 8 days. All three got their nails done today. How many days until all three get their nails done on the same day?

a.24 days

b.32 days

c.25 days

d. 40 days

Answer 1

The answer is going to be the least common multiple of 4, 5, and 8. Factor each of them at highest powers.

4 is 2^2

5 is 5^1

8 is 2^3

Keeping only the highest power of each base, the LCM is 2^3 * 5^1 = 40 ■