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What is the least common multiple of 152 and 190? A. 304 B.

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Intern
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Joined: 09 Apr 2003
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What is the least common multiple of 152 and 190? A. 304 B.  [#permalink]

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New post 30 May 2003, 08:34
3
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (01:07) correct 22% (01:13) wrong based on 182 sessions

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What is the least common multiple of 152 and 190?

A. 304
B. 14440
C. 760
D. 28880
E. 1520
Manager
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Joined: 12 Mar 2003
Posts: 59
Re: What is the least common multiple of 152 and 190? A. 304 B.  [#permalink]

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New post 30 May 2003, 08:57
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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New post 30 May 2003, 09:00
C is right

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

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New post 30 Nov 2004, 21:18
2
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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New post 01 Dec 2004, 11:02
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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New post 01 Dec 2004, 11:12
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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New post 12 Jun 2005, 12:28
This was very helpful, thanks!
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Re: What is the least common multiple of 152 and 190? A. 304 B.  [#permalink]

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New post 12 Jun 2005, 14:51
1
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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New post 01 Sep 2014, 20:53
\(152 = 2^3 * 19\)

\(190 = 2 * 5 * 19\)

\(LCM = 2^3 * 5 * 19 = 760\)

Answer = C
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Re: What is the least common multiple of 152 and 190? A. 304 B.  [#permalink]

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New post 18 Aug 2018, 09:30
let's start by prime factorization of 152 and 190.
150 = 2*2*2*19
190 = 2*5*19
so least common multiple should contain prime factors of both numbers hence LCM is 2*2*2*5*19 = 760

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

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New post 18 Aug 2018, 09:56
ABNY2002 wrote:
What is the least common multiple of 152 and 190?

A. 304
B. 14440
C. 760
D. 28880
E. 1520


OA:C
\(152 =2*2*2*19= 2^3*19^1\)
\(190 =2*5*19 \quad= 2^1*5^1*19^1\)

L.C.M(least common multiple) is obtained by multiplication of each unique factor raised to highest power present in either of two numbers.

\(L.C.M =2^3*5^1*19^1=760\)
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Re: What is the least common multiple of 152 and 190? A. 304 B. &nbs [#permalink] 18 Aug 2018, 09:56
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