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# What is the lowest positive integer that is divisible by

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Senior Manager
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What is the lowest positive integer that is divisible by [#permalink]

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13 Dec 2006, 19:57
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
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13 Dec 2006, 20:14
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.
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Re: Problem # 33 in OG [#permalink]

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13 Dec 2006, 20:39
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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13 Dec 2006, 22:16
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
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13 Dec 2006, 23:01
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.
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Re: Problem # 33 in OG [#permalink]

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15 Dec 2006, 23:34
choice a

420 can be divided by each
Re: Problem # 33 in OG   [#permalink] 15 Dec 2006, 23:34
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