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what is the incorrect math sentence THE LCM IS 3, 6, 9 IS 18?? THE LCM OF 12 AND 15 IS 60 ?? THE LCM OF 4 AND 8 IS 16 ??

1 Answer

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The first step in determining lowest common factor, (LCM) is to express the numbers as factors.

For the first option,

3 = 3 * 1

6 = 3 * 2 * 1

9 = 3 * 3 * 1

The highest power of 3 is 2. the highest power of 2 is 1. thus, the LCM is

3^2 * 2^1 = 9 * 2 = 18

For the second option,

12 = 2 * 2 * 3

15 = 3 * 5

The highest power of 2 is 2. The highest power of 3 is 1. The highest power of 5 is 1. thus

LCM = 2^2 * 3^1 * 5^1 = 4 * 3 * 5 = 60

For the last option,

4 = 2 * 2

8 = 2 * 2 * 2

The highest power of 2 is 3. Thus,

LCM = 2^3 = 8

Thus, the incorrect math sentence is the third sentence

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