Can two numbers have 15 as their HCF and 175 as their LCM? Give reason.

Question:

Can two numbers have 15 as their HCF and 175 as their LCM? Give reason.

Solution:

No,

Since, LCM is always a multiple of HCF.
But 175 is not a multiple of 15.

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

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