Question

The Highest Common Factor of a

and b is 48 and the Lowest
Common Multiple is 1680.
Given that a < b and that both
numbers are greater than 48,
work out the values of a and b.

Answer 1

a = 240

b = 336

Explanation:

To find LCM of 2 number:

1. list all prime factors that appear in either numbers.
2. If a factor appears more than once in one of the numbers list it that many times.
3. Multiply these together to get LCM

To find HCF of 2 numbers:

1. List all prime factors both numbers.
2. Multiply these together to find HCF

In this question LCM and HCF is already given but the numbers a and B are unknown.

To find a and B we do the opposite.

Further explanation is in the attached file please open as you will get a clear understanding of the answer.