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Find the LCM

$3$ , $6$ , $9$

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

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

$3$ is a prime number

Step 3

$6$ has factors of $2$ and $3$ .

$2 \cdot 3$

Step 4

$9$ has factors of $3$ and $3$ .

$3 \cdot 3$

Step 5

The LCM of $3, 6, 9$ is the result of multiplying all prime factors the greatest number of times they occur in either number.

$2 \cdot 3 \cdot 3$

Step 6

Multiply $2 \cdot 3 \cdot 3$ .

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Step 6.1

Multiply $2$ by $3$ .

$6 \cdot 3$

Step 6.2

Multiply $6$ by $3$ .

$18$

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Algebra Concepts and Expressions

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

Solving for a Variable Solving by Graphing Arithmetic Operations Combining Like Terms Simple Exponents Distributive Property Prime Factorizations Finding the Factors Finding the LCD of a List of Expressions Determining if the Number is a Perfect Square Finding the Domain Evaluate

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