

LCM and HCF are defined for natural numbers only.
According to the theory of LCM and HCF, to find the LCM or HCF of a and b we must write those numbers as the product of powers of prime factors.
Here, for square root numbers, we can not represent it as the product of prime factors.
So, we can not find LCM and HCF for irrational numbers.
Ex: What is LCM of √2, √3
Here, we cannot write irrational numbers as the product of prime factors.
Hence, we can not find LCM and HCF if irrational numbers present.
