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Least Common Multiple of integers>250

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by pareekbharat86 » Sun Nov 03, 2013 2:44 am
What is the smallest possible common multiple of two integers greater than 250?

a. 251
b .252
c .502
d. 750
e. 884

OA- a
Source- Kaplan Practice Test
Difficulty- High
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Bharat.
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by GMATGuruNY » Sun Nov 03, 2013 3:50 am
To clarify the intent of the problem, I've added the phrase in red:
pareekbharat86 wrote:What is the smallest possible common multiple of two integers that are both greater than 250?

a. 251
b .252
c .502
d. 750
e. 884
Let a and b be the two integers greater than 250.
Since there is no requirement that a and b be distinct, let a=251 and b=251.
In this case, the smallest value divisible by both a and b -- in other words, the LEAST COMMON MULTIPLE of a and b -- is 251.
Eliminate B, C, D and E, which are all greater than 251.

The correct answer is A.
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by KConfused » Sun Nov 03, 2013 5:08 am
Mitch, what if we were asked to select two distinct numbers greater than 250?
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by theCodeToGMAT » Sun Nov 03, 2013 5:36 am
KConfused wrote:Mitch, what if we were asked to select two distinct numbers greater than 250?
I believe in that case the result would be 502 because the possible numbers are:

A = 251
B = 251 x 2
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by pareekbharat86 » Sun Nov 03, 2013 8:06 pm
GMATGuruNY wrote:To clarify the intent of the problem, I've added the phrase in red:
pareekbharat86 wrote:What is the smallest possible common multiple of two integers that are both greater than 250?

a. 251
b .252
c .502
d. 750
e. 884
Let a and b be the two integers greater than 250.
Since there is no requirement that a and b be distinct, let a=251 and b=251.
In this case, the smallest value divisible by both a and b -- in other words, the LEAST COMMON MULTIPLE of a and b -- is 251.
Eliminate B, C, D and E, which are all greater than 251.

The correct answer is A.
I think the assumption that the 2 nos. could be the same makes this a high difficulty level question.
Thanks,
Bharat.
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by Scott@TargetTestPrep » Wed Feb 28, 2018 10:27 am
pareekbharat86 wrote:What is the smallest possible common multiple of two integers greater than 250?

a. 251
b .252
c .502
d. 750
e. 884
Although this could be a pretty tricky question, we see that we are not told that the integers must be unique, and thus they could be equal to each other. So the smallest common multiple of two integers that are both greater than 250 is 251, since both integers could be 251.

Answer: A

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