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
$${\text{xyz}}$$
Correct Answer: $${\text{xyz}}$$
Ratio of the numbers = x : yHCF of the numbers = zSo, z is the common factor of the numbersThen, First number = xzSecond Number = yzNow,First Number × Second Number = HCF and LCM of the numbersxzyz = z × LCMLCM = xyz