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# The LCM of 2 numbers is 840 and the GCD is 20.One of the

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The LCM of 2 numbers is 840 and the GCD is 20.One of the [#permalink]  15 May 2005, 04:21
The LCM of 2 numbers is 840 and the GCD is 20.One of the numbers is 120.What is the other?
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140...

prime factors of 20 are 2*2*5. they have to be in the 2 numbers as well. in 840 are 2^3*5*3*7. the 7 must be in the unknown number because 2^3*5*3 are already the primes of 120. the unknown number is 2*2*5*7=140.
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agree with 140. another number ust be the smallest (except 0) multiple of 7x20.
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Simple Formula :-

Prod(a,b) = LCM(a,b) * HCF(a,b)
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