Q15 of 44 Page 1

Can two numbers h

No, LCM = Product of highest power of each factor involved in the numbers. Product of smallest power of each HCF = common factor.

⇒ We can conclude that LCM is always a multiple of HCF, i.e., LCM = k × HCF


We are given that, LCM = 175 and HCF = 15


⇒ 175 = k × 15 ⇒ 11.67 = k


But in this case, LCM ≠ k × HCF


Therefore, two numbers cannot have LCM as 175 and HCF as 15.


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