Question

Product of two algebraic expressions is $x^3(a+b+c)$. If their HCF is $x^2$, find their LCM

• A. $x^2(a+b+c)$
• B. $x(a+b+c)$
• C. $x^3(a+b+c)$
• D. $x^2$

Answer 1

Answer: (B)

$x(a+b+c)$

Since, $H.C.F.\times L.C.M.=\text{Product of the two expressions}$
$\therefore L.C.M.=\frac{\text{Product of the two expressions}}{H.C.F}$
$=\frac{x^3(a+b+c)}{x^2}=x(a+b+c)$.
Option B is correct.