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# Which of the following is the lowest positive integer that

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Intern
Joined: 08 Jan 2007
Posts: 42
Which of the following is the lowest positive integer that [#permalink]

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13 Feb 2007, 11:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Manager
Joined: 12 Feb 2007
Posts: 167

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13 Feb 2007, 11:53
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, 11:57, edited 2 times in total.
Senior Manager
Joined: 23 Jun 2006
Posts: 387

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13 Feb 2007, 11:55
1080 is not divisible by 7....
1890 not divisible by 8
Senior Manager
Joined: 04 Jan 2006
Posts: 279

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13 Feb 2007, 12:03
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
SVP
Joined: 05 Jul 2006
Posts: 1747

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13 Feb 2007, 12:30
[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

Intern
Joined: 08 Jan 2007
Posts: 42

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14 Feb 2007, 11:44
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
Senior Manager
Joined: 04 Jan 2006
Posts: 279

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14 Feb 2007, 12:36
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
Intern
Joined: 08 Jan 2007
Posts: 42

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14 Feb 2007, 12:47
now it makes sense, thank you
14 Feb 2007, 12:47
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