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The Chess club and the Robotics team both meet in the school gym. The chess club meets every six days. The Robotics team meets every eight days They are sharing the gym today. In how many days will they share the gym again?

Answer :

Using the least common factor, it is found that they will share the gym again in 24 days.

How to find the time it takes for periodic events to repeat at the same time?

To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.

For this problem, the periods are of 6 and 8 days, hence the lcm is found factoring both numbers into prime factors as follows:

6 - 8|2

3 - 4|2

3 - 2|2

3 - 1|3

1 - 1

Hence:

lcm(6,8) = 2³ x 3 = 8 x 3 = 24.

They will share the gym again in 24 days.

More can be learned about the least common factor at brainly.com/question/16314496

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