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What is the smallest positive perfect square that is divisible by 12,

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What is the smallest positive perfect square that is divisible by 12,  [#permalink]

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New post 29 Apr 2016, 16:04
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Re: What is the smallest positive perfect square that is divisible by 12,  [#permalink]

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New post 30 Apr 2016, 01:14
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Bunuel wrote:
What is the smallest positive perfect square that is divisible by 12, 15, and 18?

A. 900
B. 1,600
C. 2,500
D. 3,600
E. 4,900


HI,
we have to fulfill three conditions..
1) Should be SMALLEST possible
2) Should be a PERFECT square
3) Should be div by 12,15,18..

so it has to be a multiple of LCM of 12,15 and 18..
LCM = >\(12 = 2^2*3\); \(15 = 3*5\)and \(18 = 2*3^2.\).
\(LCM = 2*2*3*3*5 = 180\)..
now what should be multiplied to 180 to make it a perfect square=> 180 = 2*2*3*3*5.. ONLY 5 is without pair, so 180 *5 = 900
A
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Re: What is the smallest positive perfect square that is divisible by 12,  [#permalink]

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New post 30 Apr 2016, 02:26
[quote="Bunuel"]What is the smallest positive perfect square that is divisible by 12, 15, and 18?

A. 900
B. 1,600
C. 2,500
D. 3,600
E. 4,900
take the LCM of 12,15,18 that will come 180. the smallest positive perfect square given in the option that can be divided with 180 is 900.
so the ans is (A)
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Re: What is the smallest positive perfect square that is divisible by 12,  [#permalink]

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New post 20 Oct 2018, 22:56
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Re: What is the smallest positive perfect square that is divisible by 12,   [#permalink] 20 Oct 2018, 22:56
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