Hi everyone!

Looking at the prime factorisation method for solving HCF and LCM, we thought of a question that would require us to work backwards to find a number N of a pair, given the HCF and LCM. Here’s an example and solution that we would like to share.

Example: Given that 252 and a number N have a LCM of 1260 and HCF of 36, find the number N.

Method:

Express 252, 1260 and 36 as a product of prime factors

We can also derive the answer using our famous Dina's Venn Diagram

We feel that this example will be helpful for students to have an overall understanding of HCF and LCM.

Hopefully, it is a good take away from us.

Cheers,

Subashini (Group F)