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The least common multiple of 3, 4, 6, and 8 is 24.

List the multiples out:

3: 3, 6, 9, 12, 15, 18, 21, 24
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24
8: 8, 16, 24

Answer:

B. 24

Step-by-step explanation:

The least common multiple  of two numbers is the smallest number

that is a multiple of  all the numbers ( except 0)

Let us look at the multiples of the numbers given:

The multiples of 3,4,6 and 8 are:

3:    3,6,9,12,15,18,21,24.

4:    4,8,12,16,20,24.

6:     6,12,18,24.

8:    8,16,24.

24 is the smallest number that is a common multiple of all the numbers.

The least common multiple of 3, 4, 6, and 8 is 24.