Question

$P$ is the LCM of $2,4,6,8,10,Q$ is the LCM of 1,3 , $5,7,9$, and $L$ is the LCM of $P$ and $Q$. Then, which of the following is true?

• A. $L=21P$
• B. $L=4Q$
• C. $L=63P$
• D. $L=16Q$

Answer 1

Answer: (A)

$P$ is the $LCM$ of $2,4,6,8,10$.
$\therefore P=3(8)(5)$
$Q$ is the LCM of $1,3,5,7,9$.
$\therefore Q=5(7)(9)$
$L$ is the LCM of $P,Q$
$\therefore L=3(8)(5)21\text{ or }5(7)(9)8\text{, i.e., }21P\text{ or }8Q\text{. }$