The least common multiple of 8, 12, and a third number is 120. Which of the following could be the third number?
A)15
B)16
C)24
D)32
E)48

Question

Quizplus · Accepted Answer

The least common multiple (LCM) of 8 and 12 is 24. To get an LCM of 120 with a third number, the third number must introduce a factor that 24 does not have. The number 15 introduces the factor 5, which is needed to reach 120 (since 24 * 5 = 120).

The Least Common Multiple of 8, 12, and a Third