How long will it be until she can refill all three prescriptions on the same day?

Question

After visiting her doctor, Jinney went to the pharmacy for a two-week supply of Clarinex, a 20-day supply of Albuterol, and a 30-day supply of Pepcid. Jinney refills each prescription as soon as her supply runs out. 

Answer 1

The number of days is the least common multiple (LCM) of 14, 20, and 30.

14 = 2 · 7

20 = 2² · 5

30 = 2 · 3 · 5

LCM = 2² · 3 · 5 · 7