What is the least common multiple of 152 and 190? A. 304 B. : GMAT Problem Solving (PS)
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# What is the least common multiple of 152 and 190? A. 304 B.

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What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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30 May 2003, 07:34
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What is the least common multiple of 152 and 190?

A. 304
B. 14440
C. 760
D. 28880
E. 1520
[Reveal] Spoiler: OA
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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30 May 2003, 07:57
Ans : C

Is there a quick method ?
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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30 May 2003, 08:00
C is right

Find Greatest Common factor for both the numbers and then divide the product of both the numbers from the the GCF.
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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30 Nov 2004, 20:18
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Yes there is a shorter way

152 = 2*2*2*19

190 = 2*5*19

I think everyone knows how to do this.
Then

choose 2*2*2 and choose 5 and choose 19

2*2*2*5*19 = 760
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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01 Dec 2004, 10:02
omar_far wrote:
Yes there is a shorter way

152 = 2*2*2*19

190 = 2*5*19

I think everyone knows how to do this.
Then

choose 2*2*2 and choose 5 and choose 19

2*2*2*5*19 = 760

can you put in the general form how we can handle such problems?
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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01 Dec 2004, 10:12
Will do.

Suppose u have two numbers - 27 and 63.

get them down to their primes.

27 = 3*3*3
63 = 3*3*7

Since 3*3 is common delete it from one of them and then
LCM = 3*3*3*7

Suppose u have 3 numbers - 27, 63, 72

27 = 3*3*3
63 = 3*3*7
72 = 2*2*2*3*3

Since 3*3 is common delete it from 2 of the numbers and then
LCM = 2*2*2*3*3*3*7

Also LCM is useful for these kinds of problems:
J take 15 min to inspect a car
K takes 20 min to inspect a car
When will they finish inspecting the same car?

j * 15 = k * 20 where j is the number of cars J inspected and k the number of cars K inspected.

Take the LCM
15 = 3*5
20 = 2*2*5

so LCM = 2*2*3*5 = 60
After 60 min

Hope this helps.
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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12 Jun 2005, 11:28
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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12 Jun 2005, 13:51
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152 = 2^3 * 19^1

190 = 2^1 * 5^1 * 19 ^1

For the LCM, take the highest power of each unique factor among the numbers and get the product.

Here it is 2^3 * 5 * 19 = 760
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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01 Sep 2014, 10:31
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Re: What is the least common multiple of 152 and 190? A. 304 B. [#permalink]

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01 Sep 2014, 19:53
$$152 = 2^3 * 19$$

$$190 = 2 * 5 * 19$$

$$LCM = 2^3 * 5 * 19 = 760$$

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Re: What is the least common multiple of 152 and 190? A. 304 B.   [#permalink] 01 Sep 2014, 19:53
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