Question

James thinks of two numbers.

He says “The Highest Common Factor (HCF) of my two numbers is 3

The Lowest Common Multiple (LCM) of my two numbers is 45”

Write down two numbers that James could be thinking of.

Answer 1

The numbers are 9 and 15.

Explanation:

The relationship between LCM and HCF of two numbers is

HCF × LCM = product of numbers

now

3 × 45 = 135

now 9 and 15 are the numbers having LCM 45 and HCF 3 and their product is 135.