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Integer y is the least common multiple of 98, 220, and 270. Which of

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Joined: 02 Sep 2009
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Integer y is the least common multiple of 98, 220, and 270. Which of  [#permalink]

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New post 07 Mar 2017, 01:59
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (02:14) correct 27% (02:47) wrong based on 124 sessions

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Integer y is the least common multiple of 98, 220, and 270. Which of  [#permalink]

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New post 07 Mar 2017, 03:02
2
Bunuel wrote:
Integer y is the least common multiple of 98, 220, and 270. Which of the following is not a factor of y?

A. 40
B. 90
C. 140
D. 330
E. 490


prime factors of 98 = \(2*7^2\)
prime factors of 220 = \(2^2*5*11\)
prime factors of 270 = \(2*3^3*5\)

LCM of 98, 220, and 270 =
\(2^2*3^3*5*7^2\)

all the options i.e 90, 140, 330 and 490 can be obtained using the prime factors of LCM of 98, 220, and 270 except 40

Hence option A is correct
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Re: Integer y is the least common multiple of 98, 220, and 270. Which of  [#permalink]

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New post 28 Mar 2017, 06:52
1
LCM (y)= 2^2.3^3.7^2.5^1.11^1

Only option A (40) contains 2^3 and the maximum power of 2 in LCM is 2.

Therefore A is the answer.
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Re: Integer y is the least common multiple of 98, 220, and 270. Which of  [#permalink]

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New post 29 Apr 2017, 16:58
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Re: Integer y is the least common multiple of 98, 220, and 270. Which of  [#permalink]

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New post 11 Apr 2019, 14:16
LCM of 98, 220, 270 = \(2^{2}\) * \(3^{2}\) * 5 * \(7^{2}\) * 11 = 97,020

* \(\frac{97020}{40}\) = 2,425.5 (not divisible)

* \(\frac{97020}{90}\) = 1078

* \(\frac{97020}{140}\) = 693

* \(\frac{97020}{330}\) = 294

* \(\frac{97020}{490}\) = 198

Hence, Option (A) is the correct answer.
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Re: Integer y is the least common multiple of 98, 220, and 270. Which of   [#permalink] 11 Apr 2019, 14:16
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Integer y is the least common multiple of 98, 220, and 270. Which of

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