Question

8)What is the LCM of given numbers x and y when y is a multiple of x is

a)x b) y c) xy d) x/y​

Answer 1

As, $\sf{y}$ is a multiple of $\sf{x}$,

$\sf{y = kx}$

Hence, taking the $\sf{L.C.M.}$ of $\sf{(x,\: y)}$ is same as taking that of $\sf{(x,\: kx)}$

$\sf{L.C.M.(x, \: y) }$

$\sf{L.C.M.(x, \: kx) =kx }$

$\sf{L.C.M.(x, \: kx) = \dfrac{y}{x} \times x = \boxed{ \sf{ y}}}$