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

\(\frac{xy}{z}\) \(\frac{xz}{y}\) xyz \(\frac{1}{xyz}\)

xyz

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  × LCM of the numbers xz × yz = z × LCM LCM = xyz