Question

Can two no. Have HCF as 15 And LCM as 175, Give Reasons

Answer 1

No ,2 numbers cannot have HCF as 15 and LCM as 175 .
Because LCM>HCF and HCF of 2 numbers should divide the LCM completely.
Here , the 1st criteria is fulfilled but the 2nd criteria is not.
Since 175/15=35/3= 11 2/3 ∉ N.
175 is not completely divisible by 15.
Hence
2 numbers cannot have HCF as 15 and LCM as 175 

Answer 2

no,because:
LCM=product of highest power of each factor involved in the no.
HCF=product of smallest power of each common factor
so,lcm is always the multiple of hcf
but,in this case,it's not possible as 175 is not the multiple of hcf