# How do I find the least upper bound of a set?

Refer to explanation

#### Explanation:

First we define what is Upper Bound of a Set

Any number that is greater than or equal to all of the elements of the set.

Hence the least upper bound is

The smallest of all upper bounds of a set of numbers.

For example, the least upper bound of the interval $\left(5 , 7\right)$ is $7$.