Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Integers, Exercise 5: Exercise 1.4

Find the LCM of $8$ and $12$

Find the relation between the product of $8$ and $12$ and the product of HCF and LCM of $8$ and $12$.

Find the product of the HCF and the LCM of $8$ and $12$

Can you generalise the relation of product of two numbers and the product of HCF and LCM of two numbers with some example.

The HCF of two numbers is $3$. The LCM of the two numbers is $45$.

Explain why each number is a multiple of $3$.

The HCF of two numbers is $3$. The LCM of the two numbers is $45$.

Explain why each number is a factor of $45$.

The HCF of two numbers is $3$. The LCM of the two numbers is $45$.

Find the two numbers

The HCF of two numbers is $3$. The LCM of the two numbers is $45$.

Find the two numbers.