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The GCD of n and 216 is 24 and their LCM is 864. Find n.

 May 29, 2021
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Use the fact that $\gcd(a,b)lcm(a,b)=ab$. So $\gcd(n,216)lcm(n,216)=216n=24\cdot 864$. So $n=\frac{24\cdot 864}{216}$.

 May 30, 2021

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