Question

John picked up an injured fox and hedgehog in the woods. The vet who examined them prescribed antibiotics for the fox every 6 hours and for the hedgehog every 8 hours. today Giovanni started the treatment by giving both medicines at 10. In how many hours will it happen again to give both medicines? And what time will it happen? use least common multiple

Answer 1

In 24 hours

Tomorrow at 10 am

Explanation:

The least common multiple (LCM) of 6 and 8 is 24. This is the smallest number that is evenly divisible by 6 and 8. We can compute this by listing the multiples of 6 and 8 and taking the smallest common multiple

Multiples of 6: 6, 12, 18, 24, 30

Multiples of 8: 8, 16, 24, 32

So 24 is the smallest multiple common to both lists

So in 24 hours, both medicine s administration will occur at the same time

24 hours from 10am is next day, tomorrow at 10am