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

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Math Expert
Joined: 02 Sep 2009
Posts: 65807
Integer y is the least common multiple of 98, 220, and 270. Which of  [#permalink]

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07 Mar 2017, 00:59
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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

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

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07 Mar 2017, 02:02
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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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28 Mar 2017, 05:52
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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.

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

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29 Apr 2017, 15:58
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LCM(98, 220, and 270) -> 2^2*7^2*5*3^3*11
Lets check each option one by one until we get a number that isnt a factor.

A) 40 => 2^3*5
We don't have 2^3 in y
Hence this is not a factor.

Bingo.

SMASH THAT A.

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

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11 Apr 2019, 13:16
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]

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15 May 2020, 19:02
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Re: Integer y is the least common multiple of 98, 220, and 270. Which of   [#permalink] 15 May 2020, 19:02