Question

Rachel must choose a number between 67 and 113 that is a multiple of 4, 8, and 12. Write all the numbers that she could choose. If there is more than one number, separate them with commas.

Answer 1

72, 96

Explanation:

The LCM of 4, 8 and 12 is 24

because

24 is the smallest number divisible by 4, 8 and 12

Therefore multiples of 24 will be divisible by all three and therefore multiples of 24 are also multiples of 4, 8 and 12

Let's list the multiples of 24

24 x 1 = 24

24 x 2 = 48

24 x 3 = 72

24 x 4 = 96

24 x 5 = 120

The numbers 72 and 96 lie between the desired limits of 67 and 113