Question

Select all pairs of numbers that have a least common multiple of 24?

A. 3 and 4
B. 3 and 8
C. 6 and 8
D. 8 and 12

Answer 1

The correct answer is option C (6 and 8). The pairs of numbers that have a least common multiple of 24 are the numbers in pair C.

Step-by-step explanation:

To determine which pairs of numbers have a least common multiple (LCM) of 24, we need to analyze the multiples of each pair to see if 24 is the smallest number that both numbers can divide into without leaving a remainder. Let's walk through the pairs:

• Pair A: 3 and 4 have 12 as their LCM, because 3 × 4 = 12, and there is no smaller multiple they both share.
• Pair B: 3 and 8 do not have 24 as their LCM because 3 is not a factor of 24.
• Pair C: 6 and 8 have 24 as their LCM, as 6 × 4 = 24 and 8 × 3 = 24, making 24 the smallest common multiple.
• Pair D: 8 and 12 do not have 24 as their LCM, because 8 × 3 = 24 but 12 × 2 = 24, and thus their LCM is actually 48.

Only pair C has 24 as an LCM, as it is the smallest number that both 6 and 8 can divide into without a remainder.