What number between 55 and 101 is a multiple of 2 6 8?

Answer 1

All multiples of their lowest common multiple are multiple of all of them.

lcm(2, 6, 8) = 24

55 ÷ 24 = 2 r 7 → first multiple of 24 greater than 55 is 3 x 24 = 72

101÷ 24 = 4 r 5 → last multiple of 24 less than 101 is 4 x 24 = 96

→ the numbers 72 and 96 are multiples of 2, 6 & 8 between 55 and 101.

Answer 2

To find a number that is a multiple of 2, 6, and 8 between 55 and 101, we need to find the least common multiple (LCM) of these numbers, which is 24. The nearest multiple of 24 within the given range is 72. Therefore, 72 is the number between 55 and 101 that is a multiple of 2, 6, and 8.