If H.C.F. of p and q is x and q=x y, then the L.C.M. of p and q is · ABC26GN0498

Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: C.D.S. 2004

If H.C.F. of $p$ and $q$ is $x$ and $q=x y$, then the L.C.M. of $p$ and $q$ is

(a)$p q$

(b)$q y$

(c)$x y$

(d)$p y$

Answer

Answer (as printed): D

Explanation

Product of numbers = H.C.F. $\times$ L.C.M. $\Rightarrow p q=x \times$ L.C.M. $\Rightarrow \quad$ L.C.M. $=\frac{p q}{x}=\frac{p(x y)}{x}=p y$.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for H.C.F. and L.C.M. of Numbers