If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is:

A. $${\text{yz}}$$

B. $$\frac{{{\text{xz}}}}{{\text{y}}}$$

C. $$\frac{{{\text{xy}}}}{{\text{z}}}$$

D. $${\text{xyz}}$$

Answer: Option D

Solution(By Examveda Team)

Ratio of the numbers = x : y
HCF of the numbers = z
So, z is the common factor of the numbers
Then, First number = xz
Second Number = yz
Now,
First Number × Second Number = HCF and LCM of the numbers
xzyz = z × LCM
LCM = xyz