Question

Can two numbers have 20 as their HCF and 215 as their LCM justify your answer

Answer 1

no because lcm divides hcf completely .
but it is not possible in this case

Answer 2

Answer:

No, It is not possible.

Step-by-step explanation:

Here,

The HCF of two numbers 20,

Let the numbers are 20x and 20y,

Where,

x and y are any distinct number.

So, the L.C.M of 20x and 20y = 20xy,

Thus, 20 must be factor of L.C.M of numbers 20x and 20y,

We have given,

LCM ( 20x, 20y ) = 215, which is not a multiple of 20,

Hence, two numbers can not have 20 as their HCF and 215 as their LCM.