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If $p$, $q$, and $r$ are three different odd prime numbers what are the $\operatorname{lcm} (2pq, 2pr, 2qr)$ and $\operatorname{gcf} (2pq, 2pr, 2qr)$. Anyone have any suggestions on how to even start this problem? I am just back in college and really struggling with this stuff. Thank you.

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    Hint: For the gcf, is it clear to you that $2$ divides all of them, but nothing bigger than $2$ does? For the lcm, we need a $2$, and also a $p$, and a $q$, and an $r$.2012-02-27

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