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Given that $n$ is a positive integer, and given that $\mathop{\text{lcm}}[24,n]=72$ and $\mathop{\text{lcm}}[n,27]=108$, what is $n$?

 Mar 19, 2019
 #1
avatar+129850 
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\({\text{lcm}}[24,n]=72\)

\({\text{lcm}}[n,27]=108\)

 

GCD  [ 72, 108 ]  =  36   =  n

 

 

cool cool cool

 Mar 19, 2019
 #2
avatar+142 
+2

thanks

CorbellaB.15  Mar 19, 2019

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