Question

Micah found the least common multiple of 8 and 12. His work is shown below. Multiples of 8: 8, 12, 16, 20, 24, 28, . . . Multiples of 12: 12, 24, 36, 48, 60, . . . The least common multiple is 12. What is Micah’s error?

A. Micah listed some values that were not multiples.

B. Micah listed factors of each number instead of multiples.

C. Micah should have multiplied 8 and 12 to find the least common multiple.

D. Micah selected a multiple that is not the least of the common multiples.

Answer 1

The error Micah made was A. He listed some values that were not multiples.

Answer 2

Option (A) is correct.

Micah listed some values that were not multiples.

Explanation:

Least common multiple is the smallest number that is multiple of all given numbers.

Since, Micah found the least common multiple of 8 and 12.

Multiples of 8 are 8, 16, 24, 32 , 40, 48, 56,.............

Multiples of 12 are 12, 24, 36, 48, 60,........

Thus, least common multiple of 8 and 12 as per the definition stated above is 24.

So, Micah’s error is that Micah listed some values that were not multiples as he stated multiples of 8 as 8, 12, 16, 20, 24, 28, . . which is wrong.

Thus, option (A) is correct.