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Which of the following is the lowest positive integer that

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Which of the following is the lowest positive integer that [#permalink] New post 13 Feb 2007, 10:10
Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8 and 9?

A)15120
B)3024
C)2520
D)1890
E)1080

Please provide explanation.
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 [#permalink] New post 13 Feb 2007, 10:53
As goofy as the page looks, it probably best to take a gander at these rules
I cant post the link for some dumb reason but take a look here

kidzworldDOTcomSLASHarticleSLASH4979-math-help-division-tips-and-tricks

Last edited by Tuneman on 13 Feb 2007, 10:57, edited 2 times in total.
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 [#permalink] New post 13 Feb 2007, 10:55
1080 is not divisible by 7....
1890 not divisible by 8
C is the answer...
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 [#permalink] New post 13 Feb 2007, 11:03
Find Least Common Factor of the given number.

LCM(2, 3, 4, 5, 6, 7, 8, 9) = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520
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Re: Lowest Possible Integer [#permalink] New post 13 Feb 2007, 11:30
[quote="cucrose"]Which of the following is the lowest positive integer that is divisible by 2, 3, 4, 5, 6, 7, 8 and 9?

A)15120
B)3024
C)2520
D)1890
E)1080

1) b is not devisable by 5 ..............out ( it has to end up in 5 or 0)
2)d is not devisble by 4..........out ( check last 2 digits of any number /4)
3) e and is not devisable by 7 ......out

those u can spot at no time during the test

now we end up with c and a

C IS THE ANSWER(question ask for lowest)
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 [#permalink] New post 14 Feb 2007, 10:44
Devilmirror, can you please explain how you obtained these values? Thanks a lot.


devilmirror wrote:
Find Least Common Factor of the given number.

LCM(2, 3, 4, 5, 6, 7, 8, 9) = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520
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 [#permalink] New post 14 Feb 2007, 11:36
cucrose wrote:
Devilmirror, can you please explain how you obtained these values? Thanks a lot.


devilmirror wrote:
Find Least Common Factor of the given number.

LCM(2, 3, 4, 5, 6, 7, 8, 9) = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520


LCM(2, 3, 4, 5, 6, 7, 8, 9) = 2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520

This is the most straight forward method to find LCM.

2 = 2
4 = 2 x 2
5 = _________________x 5
6 = 2 x ______x 3
7 = _____________________x 7
8 = 2 x 2 x 2
9 = __________3 x 3

You reduce each repeated commond factor to be 1 number.

LCM = 2 x 2 x 2 x 3 x 3 x 5 x 7
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 [#permalink] New post 14 Feb 2007, 11:47
now it makes sense, thank you
  [#permalink] 14 Feb 2007, 11:47
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