## Least Common Denominator

Table of Contents

## What is a Denominator?

The denominator is the bottom number in a fraction.

It shows how many equal parts the item is divided into

Examples

The denominator of ½ is 2

## Common Denominator?

When the denominators of 2 or more fractions are the same, they have Common Denominators.

Examples

¾ and ¼ have Common Denominators

## Finding a Common Denominator

One simple answer is to multiply the current denominators together.

Examples

¾ and ½

One of common denominators of those fractions is

4 × 2 = 8

So instead of having 4 or 2, we will make both of them have 8.

They now have common denominators (but not the least common denominator)

## Least Common Denominator

Least Common Denominator is the smallest of all the common denominators.

how to find out?

- List the multiples of denominators
- Find the smallest number that is the same

**Example**

Fraction | Multipe of denominator | Smallest common multiple |

¾ | 4, 8, 12, 16, … | 4 |

½ | 2, 4, 6, 8, … | 4 |

So the Least Common Denominator of ¾ and ½ is 4.