Kevin, Alison, and Fred work part time. Kevin works every second day. Alison works every third day. Fred works every fourth day. when will they work together again? Explain how you know.

Given that Kevin works every second day. Alison works every third day. Fred works every fourth day. By taking the least common multiple (LCM), they will work together again on the twelfth day.

What is least common multiple (LCM)?

The least common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b.

Calculating LCM of 2, 3 and 4 :

2 = 2 x 1

3 = 3 x 1

4 = 2 x 2

LCM (2, 3, 4) = 2 x 2 x 3 = 12

Thus, Kevin, Alison, and Fred will work together again on 12th day.

Learn more about least common multiple here

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