Question

Can two number have 15 as their Hcf and 175 as their lcm

Answer 1

Hii Friend,,,,,,

For 2 or more numbers, 

--LCM is the Product of highest power of each factor involved in the numbers.

--HCF is the Product of smallest power of each common factor.

Now,

We can conclude that LCM is always a multiple of HCF, i.e., 

=> LCM = k × HCF

We are given that,

- LCM = 175

- HCF = 15

√ But in this case, LCM ≠ k × HCF.

=> Therefore, 2 numbers can't have LCM as 175 and HCF as 15.

hope this will help you...

Answer 2

this is perfect answer