Two numbers n and 16 have lcm = 48 and gcf = 8. find n.

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

The answer is $9.90 with rounding to the nearest tenth

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