Question

Avery gets newsletters by e-mail. He gets one for sports every 5 days, one for model railroads every 10 days, and one for music every 8 days. If he got all three today, how many more days will it be until he gets all three newsletters on the same day again?

Answer 1

Answer:

40 days.

Step-by-step explanation:

To find the number of days after which he will get all the newspapers, we need to find the LCM.

Prime Factorization of 5 = 1×5

Prime Factorization of 10 = 2×5

Prime Factorization of 8 = 2×2×2

LCM = 1×5×2×2×2

= 40

Therefore, after 40 days he will get all the newspapers.

Hope it helps you

Answer 2

Answer

280 days

Step-by-step explanation:

the lcm of 5,10,8 is 40

so he will get all three after every 40 days

as every week has 7 days and 40 is not properly divided by 7 so in order to get the same day we need the lcm which is 280 so after 280 days

it would be your humble consideration to mark me as the brainliest.