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08-05-2017
Mathematics

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Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.

Respuesta :

08-05-2017

LCM=product of highest occurring primes in the numbers prime factorization.

GCF=product of shared primes in the numbers prime factorization.

16=2*2*2*2

Since the GCF is 8 N and 16 share only 2*2*2

Since the LCM is 48 and 16 has 2*2*2*2 the other number has a factor of 3

So the other number is 2*2*2*3=24

N=24

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