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Smalles Possible CF...

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by Ozlemg » Wed Jul 20, 2011 3:53 am
What is the smallest possible common multiple of three integers, all
larger than 26?
a.27
b.54
c.846
d.19,656
e.21,924

Oa later...
Thnx
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by Anurag@Gurome » Wed Jul 20, 2011 4:55 am
Ozlemg wrote:What is the smallest possible common multiple of three integers, all
larger than 26?
a.27
b.54
c.846
d.19,656
e.21,924

Oa later...
Thnx
Since the question does not mention that the 3 integers are distinct, so the smallest possible common multiple of three integers, all larger than 26 is 27.

The correct answer is A.
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by vishwas.arora » Mon Jul 25, 2011 11:32 pm
Anurag@Gurome wrote:
Ozlemg wrote:What is the smallest possible common multiple of three integers, all
larger than 26?
a.27
b.54
c.846
d.19,656
e.21,924

Oa later...
Thnx
Since the question does not mention that the 3 integers are distinct, so the smallest possible common multiple of three integers, all larger than 26 is 27.

The correct answer is A.
Well, what would have been the reply had the integers been distinct?
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by Anurag@Gurome » Tue Jul 26, 2011 12:02 am
vishwas.arora wrote:
Anurag@Gurome wrote:
Ozlemg wrote:What is the smallest possible common multiple of three integers, all
larger than 26?
a.27
b.54
c.846
d.19,656
e.21,924

Oa later...
Thnx
Since the question does not mention that the 3 integers are distinct, so the smallest possible common multiple of three integers, all larger than 26 is 27.

The correct answer is A.
Well, what would have been the reply had the integers been distinct?
I am considering the question as: What is the smallest possible common multiple of three distinct integers, all larger than 26?

The smallest integer greater than 26 is 27. Double of 27 = 54, and three times 27 = 81
So, the smallest common multiple of 27, 54, and 81 = 27 * 2 * 3 = 162

Hope that helps.
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by samarpan_bschool » Tue Jul 26, 2011 1:21 am
Hi Anurag,

What if we take the following three numbers-
27 -> 27 * 1
54 -> 27 * 2
108 -> 27 * 2 * 2

LCM = (27 * 2 * 2 = 108) -> It is less than the number '162' in your example.

Comments please.
Thanks
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