Question

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

Answer 1

This is because the prime factorisation of the large number ie.110 does not have 15 or multiples of it

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