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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: d
Explanation: 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
First Number × Second Number = HCF and LCM of the numbers
xzyz = z × LCM
LCM = xyz

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