Find the LCM

$1$ , $3$ , $5$

Step 1

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

Step 2

The number $1$ is not a prime number because it only has one positive factor, which is itself.

Not prime

Step 3

Since $3$ has no factors besides $1$ and $3$ .

$3$ is a prime number

Step 4

Since $5$ has no factors besides $1$ and $5$ .

$5$ is a prime number

Step 5

The LCM of $1, 3, 5$ is the result of multiplying all prime factors the greatest number of times they occur in either number.

$3 \cdot 5$

Step 6

Multiply $3$ by $5$ .

$15$

Enter YOUR Problem

Algebra Concepts and Expressions

More step-by-step Algebra examples from this chapter.

Read the worked problem

Each example starts from a real Algebra problem and shows the rule or formula it relies on.

Follow every step

Work through the solution line by line. Underlined terms open a glossary definition.

Solve your own problem

Enter a similar problem in the Algebra solver to get the answer with steps.

Step-by-step solutions

See how every answer is worked out, not just the result.

Every major math subject

From basic math through calculus, statistics and chemistry.

Accurate results

Answers you can check your homework against.

Trusted by students

A reliable tool for homework and learning.

Have a Algebra problem of your own?

Enter it in the Algebra solver to get the answer with step-by-step solutions.

Mathway requires javascript and a modern browser.

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$