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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, 18:57
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

Please explain how you got the answer. Thanks
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13 Dec 2006, 19:14
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, 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

Please explain how you got the answer. Thanks

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, 21:16
multiply 1 to 7 and divide the product by the common factors shared by some of the 7 numbers. then you get the LCM.
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13 Dec 2006, 22:01
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, 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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# What is the lowest positive integer that is divisible by

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