Question

Hi, dude. I need help yo ok?
Do my homework.

Wanda, Darren, Beatrice, and Chi are tutors in the school math lab. Their schedule is as follows: Darren works every third school day, Wanda works every fourth school day, Beatrice works every sixth school day, and Chi works every seventh school day. Today they are all working in the math lab. In how many school days from today will they next be together tutoring in the lab?

Answer 1

Answer: They will next be together in the lab in 12 school days.

Step-by-step explanation:

To find the least common multiple of the numbers 3, 4, 6, and 7, you can list the multiples of each number until you find a multiple that the other numbers also share:

Multiples of 3: 3, 6, 9, 12, 15, 18, ...

Multiples of 4: 4, 8, 12, 16, 20, 24, ...

Multiples of 6: 6, 12, 18, 24, 30, 36, ...

Multiples of 7: 7, 14, 21, 28, 35, 42, ...

The least common multiple of 3, 4, 6, and 7 is 12, because it is the smallest multiple that all of the numbers share. Therefore, they will next be together in the lab in 12 school days.