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If the least common multiple of integers x and y is 840,

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Manager
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Re: If the least common multiple of integers x and y is 840,  [#permalink]

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New post 03 Oct 2016, 11:03
If there are three numbers x,y,z

Can we say that,

x*y*z=LCM*GCD^2 ??


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Re: If the least common multiple of integers x and y is 840,  [#permalink]

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New post 04 Oct 2016, 02:55
2
acegmat123 wrote:
If there are three numbers x,y,z

Can we say that,

x*y*z=LCM*GCD^2 ??


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No, not correct.
GCF is only that which is common between all three.
LCM takes into account that which is common between two numbers but not all three as well. That is counted only once in the LCM.

For example:

12, 20, 30

12 = 2*2*3
20 = 2*2*5
30 = 2*3*5

LCM = 2*2*3*5 = 60
GCF = 2
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Re: If the least common multiple of integers x and y is 840,  [#permalink]

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New post 04 Oct 2016, 04:53
Thank you Karishma. Now I understood.

It works only if GCF of three numbers is equal to GCF of any two numbers.

6, 10 and 14


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Re: If the least common multiple of integers x and y is 840,  [#permalink]

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New post 18 Jan 2018, 12:57
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Re: If the least common multiple of integers x and y is 840, &nbs [#permalink] 18 Jan 2018, 12:57

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