Finite Math Examples

$3$ , $225$

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

The prime factors for $225$ are $3 \cdot 3 \cdot 5 \cdot 5$ .

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Step 3.1

$225$ has factors of $3$ and $75$ .

$3 \cdot 75$

Step 3.2

$75$ has factors of $3$ and $25$ .

$3 \cdot 3 \cdot 25$

Step 3.3

$25$ has factors of $5$ and $5$ .

$3 \cdot 3 \cdot 5 \cdot 5$

Step 4

Multiply $3 \cdot 3 \cdot 5 \cdot 5$ .

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Step 4.1

Multiply $3$ by $3$ .

$9 \cdot 5 \cdot 5$

Step 4.2

Multiply $9$ by $5$ .

$45 \cdot 5$

Step 4.3

Multiply $45$ by $5$ .

$225$