Finite Math Examples

$12 % \cdot 50$

Step 1

Multiply each number by $100$ to get rid of decimals.

$600$

Step 2

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 3

The prime factors for $600$ are $2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5$ .

Tap for more steps...

Step 3.1

$600$ has factors of $2$ and $300$ .

$2 \cdot 300$

Step 3.2

$300$ has factors of $2$ and $150$ .

$2 \cdot 2 \cdot 150$

Step 3.3

$150$ has factors of $2$ and $75$ .

$2 \cdot 2 \cdot 2 \cdot 75$

Step 3.4

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

$2 \cdot 2 \cdot 2 \cdot 3 \cdot 25$

Step 3.5

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

$2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5$

Step 4

Multiply $2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 5$ .

Tap for more steps...

Step 4.1

Multiply $2$ by $2$ .

$4 \cdot 2 \cdot 3 \cdot 5 \cdot 5$

Step 4.2

Multiply $4$ by $2$ .

$8 \cdot 3 \cdot 5 \cdot 5$

Step 4.3

Multiply $8$ by $3$ .

$24 \cdot 5 \cdot 5$

Step 4.4

Multiply $24$ by $5$ .

$120 \cdot 5$

Step 4.5

Multiply $120$ by $5$ .

$600$

Step 5

Since we multiplied by $100$ to get rid of the decimals, divide the answer by $100$ .

$6$