Which two numbers below have a least common multiple of 48? A. 4 and 16 B. 8 and 12 C. 8 and 24 D. 3 and 16

The least common multiple (LCM) is the smallest number that is a multiple of both numbers.

Let's find the LCM for each pair:

A. 4 and 16: The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, etc. The multiples of 16 are 16, 32, 48, etc. So, the LCM of 4 and 16 is 16.

B. 8 and 12: The multiples of 8 are 8, 16, 24, 32, 40, 48, etc. The multiples of 12 are 12, 24, 36, 48, etc. So, the LCM of 8 and 12 is 24.

C. 8 and 24: The multiples of 8 are 8, 16, 24, 32, 40, 48, etc. The multiples of 24 are 24, 48, etc. So, the LCM of 8 and 24 is 24.

D. 3 and 16: The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, etc. The multiples of 16 are 16, 32, 48, etc. So, the LCM of 3 and 16 is 48.

So, the pair of numbers that have a least common multiple of 48 is D. 3 and 16.