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# What is the lowest positive integer that is divisible by

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Senior Manager
Joined: 01 Feb 2005
Posts: 274
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What is the lowest positive integer that is divisible by [#permalink]  13 Dec 2006, 18:57
What is the lowest positive integer that is divisible by each of the integers 1 through 7 inclusive?

A) 420

B) 840

C) 1260

D) 2520

E) 5040

Director
Joined: 28 Dec 2005
Posts: 921
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Kudos [?]: 38 [0], given: 0

I get A: 420.

I used all the rules for divisibility.

Every number in this list is divisible by 1,2,3,4,5,6. That left 7. 420 is divisible by 7 that is the lowest in this list.
SVP
Joined: 08 Nov 2006
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Location: Ann Arbor
Schools: Ross '10
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Kudos [?]: 169 [0], given: 1

Re: Problem # 33 in OG [#permalink]  13 Dec 2006, 19:39
axl_oz wrote:
What is the lowest positive integer that is divisible by each of the integers 1 through 7 inclusive?

A) 420

B) 840

C) 1260

D) 2520

E) 5040

The question is asking for the LCM of the numbers on this list. LCM is 420. So, the answer is A.
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VP
Joined: 25 Jun 2006
Posts: 1173
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Kudos [?]: 79 [0], given: 0

multiply 1 to 7 and divide the product by the common factors shared by some of the 7 numbers. then you get the LCM.
Manager
Joined: 03 Jul 2005
Posts: 194
Location: City
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I took 7*5*3*2 = 105 and then look for the lowest value that was divisible by 105, which is 420. A for me.
Senior Manager
Joined: 05 Oct 2006
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Re: Problem # 33 in OG [#permalink]  15 Dec 2006, 22:34
choice a

420 can be divided by each
Re: Problem # 33 in OG   [#permalink] 15 Dec 2006, 22:34
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