Question

The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is

(a) 8000
(b) 1600
(c) 320
(d) 1605

Answer 1

(c) 320
Let the two numbers be x and y.
It is given that:
x $\times$ y = 1600
HCF = 5
We know,
HCF $\times$ LCM = x $\times$ y
⇒ 5 $\times$ LCM = 1600
⇒ ∴ LCM = $\frac{1600}{5}$ = 320