Math, asked by jknighten5325, 8 months ago

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? Micah listed some values that were not multiples. Micah listed factors of each number instead of multiples. Micah should have multiplied 8 and 12 to find the least common multiple. Micah selected a multiple that is not the least of the common multiples.

Answers

Answered by prerita09

Step-by-step explanation:

2 l 8,12,16

2 l 4,6,8

2 l 2,3,4

2×2×2×2×3×4

=192

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Answered by amitnrw

Given : 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.

To Find : What is Micah’s error?

Micah listed some values that were not multiples.

Micah listed factors of each number instead of multiples.

Micah should have multiplied 8 and 12 to find the least common multiple. Micah selected a multiple that is not the least of the common multiples.

Solution:

Multiples of 8:

8 , 16 , 24 , 32 , 40 , 48 , ... and so on

Micah listed Multiples of 8:

8, 12, 16, 20, 24, 28, . . .

12 , 20 , 28 are the values which are not multiples of 8

Hence Micah listed some values that were not multiples.

Micah’s error is that Micah listed some values that were not multiples.

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