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LCM

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Joined: 17 Apr 2010
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LCM [#permalink] New post 22 Apr 2010, 11:58
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51. What is the least common multiple of 8, 9, 10, 11, 12 and 24?

Correct Answer: 3960

How would you approach this? Please explain step by step. Thx.

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FYI: Questions are from the workbook of my prep course.

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Re: LCM [#permalink] New post 22 Apr 2010, 12:09
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gmatt14 wrote:
51. What is the least common multiple of 8, 9, 10, 11, 12 and 24?

Correct Answer: 3960

How would you approach this? Please explain step by step. Thx.


8 = 2 x 2 x 2
9 = 3 x 3
10 = 5 x 2
11 = 11
12 = 2 x 2 x 3
24 = 2 x 2 x 2 x 3

You take each unique prime. If a unique prime appears more than once you use the one the primes that appear the most. For example, a 2 appears in 8, 10, 12, 24 but appears 3 times (the most)

2x2x2x5x3x3x11 = 3960
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Joined: 17 Apr 2010
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Re: LCM [#permalink] New post 23 Apr 2010, 04:53
How simple is that........you just gotta know how.

I appreciate it.

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FYI: Questions are from the workbook of my prep course.

Re: LCM   [#permalink] 23 Apr 2010, 04:53
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