# Answer to Question #4151 in Statistics and Probability for Riann

Question #4151

While shooting free throws on opposite hoops kobie was making every 4th shot while aaron was making every 6th shot if they both just made a shot at the same time?

Expert's answer

You should find the Least common multiple of 4 and 6.

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76 etc.

and the multiples of 6 are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, ...

Common multiples of 4 and 6 are simply the numbers that are in both lists:

12, 24, 36, 48, 60, 72, ....

So the least common multiple of 4 and 6 is the smallest one of those: 12

Answer: every 12th shoot was made by Kobie and Aaron at the same time.

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76 etc.

and the multiples of 6 are:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, ...

Common multiples of 4 and 6 are simply the numbers that are in both lists:

12, 24, 36, 48, 60, 72, ....

So the least common multiple of 4 and 6 is the smallest one of those: 12

Answer: every 12th shoot was made by Kobie and Aaron at the same time.

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