Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

Question

Philoid · Accepted Answer

HCF stands for Highest Common Factor while LCM stands for Least Common Multiple.

⇒ HCF of two numbers must be a factor of LCM of those numbers

According to the question, HCF = 18 and LCM = 380

But 380 is not divisible by 18. So, two numbers cannot have 18 and 380 as their HCF and LCM respectively.