Question

Which of the following pairs of numbers is matched with its correct least common multiple? Select two that apply.

A.The least common multiple of 5 and 8 is 40.
B.The least common multiple of 3 and 9 is 27. C.The least common multiple of 4 and 6 is 12.
D.The least common multiple of 2 and 3 is 5.

Answer 1

The correct pairs with their least common multiples are A, where the LCM of 5 and 8 is 40, and C, where the LCM of 4 and 6 is 12.

Step-by-step explanation:

When determining the least common multiple (LCM) of two numbers, we are looking for the smallest number that is a multiple of both numbers. Let's examine the options provided:

• The least common multiple of 5 and 8 is 40. Here, 5x8=40, which is the smallest number that is a multiple of both 5 and 8. This statement is correct.
• The least common multiple of 3 and 9 is 27. While 27 is a multiple of 3 and 9, it is not the least common multiple because 9 itself is also a multiple of both 3 and 9, and it is smaller than 27.
• The least common multiple of 4 and 6 is 12. This is correct because 4x3=12 and 6x2=12, making 12 the smallest number that both 4 and 6 can multiply into.
• The least common multiple of 2 and 3 is not 5. The least common multiple would be 2x3=6.

From the options provided, the correct pairs matched with their least common multiple are:

• A. The least common multiple of 5 and 8 is 40.
• C. The least common multiple of 4 and 6 is 12.