Noah waters the houseplants every 8 days and trims them every 16 days. How many days until he does both tasks together?(1 point)

Answer 1

To find out when Noah will water and trim the houseplants on the same day, we need to determine the least common multiple (LCM) of the two time intervals: 8 days (watering) and 16 days (trimming).

1. List the multiples of each number:

   • Multiples of 8: 8, 16, 24, 32, 40, ...
   • Multiples of 16: 16, 32, 48, ...

2. Identify the smallest common multiple:

   • The first multiple that appears in both lists is 16.

Thus, the least common multiple of 8 and 16 is 16.

Therefore, Noah will water and trim the houseplants together in 16 days.