Question

can two numbers have 15 as their HCF and 110 is there LCM? give reason to justify your answer

Answer 1

The LCM of two numbers is perfectly divisible by their HCF
110/15 = 7.333.........
As the LCM is not divisible by the HCF then two numbers can't have 15 and 110 as their HCF and LCM respectively.

Answer 2

Hi friend !!

The HCF of two numbers is a factor of its LCM .
Hence, the LCM must be exactly divisible by its HCF

Here ,
lcm = 110
hcf = 15

110 and 15 are not exactly divisible by each other ,

hence , no two numbers can have 15 as their HCF and 110 as  their LCM