Answer :
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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