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# Which of the following is the least common multiple of 136 and 204?

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Math Expert
Joined: 02 Sep 2009
Posts: 64246
Which of the following is the least common multiple of 136 and 204?  [#permalink]

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01 Dec 2016, 00:59
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25% (medium)

Question Stats:

75% (01:36) correct 25% (01:57) wrong based on 100 sessions

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Which of the following is the least common multiple of 136 and 204?

A. 408
B. 816
C. 2,448
D. 13,872
E. 27,744

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Joined: 29 Feb 2016
Posts: 112
Location: India
GMAT 1: 700 Q49 V35
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Which of the following is the least common multiple of 136 and 204?  [#permalink]

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01 Dec 2016, 01:30
Bunuel wrote:
Which of the following is the least common multiple of 136 and 204?

A. 408
B. 816
C. 2,448
D. 13,872
E. 27,744

136 = 2*2*3*17
204 = 2*2*2*17

LCM = 2*2*2*3*17 = 408

Ans : A
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Re: Which of the following is the least common multiple of 136 and 204?  [#permalink]

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01 Dec 2016, 08:31
Bunuel wrote:
Which of the following is the least common multiple of 136 and 204?

A. 408
B. 816
C. 2,448
D. 13,872
E. 27,744

$$136 = 2^3 * 17^1$$
$$204 = 2^2 * 3^1 * 17^1$$

$$LCM =$$ $$2^3*3^1*17$$

Hence, answer will be (A) 408

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Re: Which of the following is the least common multiple of 136 and 204?  [#permalink]

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01 Dec 2016, 10:08
136 = 2x68=4x34=(2^3)x17
204 = 4x51 = (2^2)x51 =(2^2)x3x17

LCM = (2^3)x3x17 = 408
GCF = (2^2)x17 = 68
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Re: Which of the following is the least common multiple of 136 and 204?  [#permalink]

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30 Mar 2020, 09:52
Bunuel wrote:
Which of the following is the least common multiple of 136 and 204?

A. 408
B. 816
C. 2,448
D. 13,872
E. 27,744

Asked: Which of the following is the least common multiple of 136 and 204?

136 = 2*2*2*17 = 2^3*17
204 = 2*2*3*17 = 2^2*3*17

LCM (136,204) = 2^3*3*17 = 408

IMO A
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Which of the following is the least common multiple of 136 and 204?  [#permalink]

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30 Mar 2020, 10:49
Which of the following is the least common multiple of 136 and 204?

A. 408
B. 816
C. 2,448
D. 13,872
E. 27,744[/quote]

let 136x=204y→
x/y=204/136=3/2
test 3/2 ratio against options:
3*136=408
2*204=408
A
Which of the following is the least common multiple of 136 and 204?   [#permalink] 30 Mar 2020, 10:49