10th Class Mathematics Real Numbers Question Bank MCQs - Real Number

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=40

C) L=63P

D) L=16P

Correct Answer: A

Solution :

P is the LCM of 2, 4, 6, 8, 10

\[\therefore P=\text{ }3\text{ }\left( 8 \right)\text{ }\left( 5 \right)\]

0, is the LCM of 1, 3, 5, 7,9

\[\therefore \text{ }Q=5\left( 7 \right)\text{ }\left( 9 \right)\]

L is the LCM of P, Q

\[\therefore \,\,L=3\left( 8 \right)\left( 5 \right)21\] or \[5\left( 7 \right)\left( 9 \right)8\]

i.e. L=21 P or 8 Q