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Which of the following is the lowest positive integer that

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Manager
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Which of the following is the lowest positive integer that [#permalink] New post 05 Feb 2008, 14:05
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Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, and 9?
15,120
3,024
2,520
1,890
1,680
CEO
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Location: New York City
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Re: PS - Divisibility [#permalink] New post 05 Feb 2008, 14:07
JCLEONES wrote:
Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, and 9?
15,120
3,024
2,520
1,890
1,680


pull out the biggest numbers first
3^2
2^3
7
5

9*8*7*5 = 2,520
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Director
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Re: PS - Divisibility [#permalink] New post 05 Feb 2008, 14:26
Woah Woah woah...backup here. Biggest #s first. Can you elaborate on this problem. I believe this one came out of the OG 11.
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Re: PS - Divisibility [#permalink] New post 05 Feb 2008, 18:54
What do we pull the biggest #s? Any why not "6"?
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Re: PS - Divisibility [#permalink] New post 06 Feb 2008, 13:52
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JCLEONES wrote:
Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8, and 9?
15,120
3,024
2,520
1,890
1,680


ok so lets break our divisors down into prime factors, i.e 2,3,2^2,5,3*2,7, 2^3,3^2

anything divisible by 3^2, will be divisible by 3, anything divisible by 2^3 will be divisible by 2, 2^2
anything divisible by 2 and 3 will be divisible by 6. so by multiplying 5*7* 2^3*3^2 = 2520 we will yield the LCD = 2520

now since 2520 is one of the options, bingo, this is the LOWEST POSITIVE INT ,i.e 1 ,as asked by the question
Director
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Re: PS - Divisibility [#permalink] New post 06 Feb 2008, 14:43
Thanks like a dummy I didn't realize we were looking for the LCD!
Re: PS - Divisibility   [#permalink] 06 Feb 2008, 14:43
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