Pre-Algebra Examples

$8.4 % \cdot 10$

Step 1

Multiply each number by $1000$ to get rid of decimals.

$840$

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 $840$ are $2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 7$ .

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Step 3.1

$840$ has factors of $2$ and $420$ .

$2 \cdot 420$

Step 3.2

$420$ has factors of $2$ and $210$ .

$2 \cdot 2 \cdot 210$

Step 3.3

$210$ has factors of $2$ and $105$ .

$2 \cdot 2 \cdot 2 \cdot 105$

Step 3.4

$105$ has factors of $3$ and $35$ .

$2 \cdot 2 \cdot 2 \cdot 3 \cdot 35$

Step 3.5

$35$ has factors of $5$ and $7$ .

$2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 7$

Step 4

Multiply $2 \cdot 2 \cdot 2 \cdot 3 \cdot 5 \cdot 7$ .

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Step 4.1

Multiply $2$ by $2$ .

$4 \cdot 2 \cdot 3 \cdot 5 \cdot 7$

Step 4.2

Multiply $4$ by $2$ .

$8 \cdot 3 \cdot 5 \cdot 7$

Step 4.3

Multiply $8$ by $3$ .

$24 \cdot 5 \cdot 7$

Step 4.4

Multiply $24$ by $5$ .

$120 \cdot 7$

Step 4.5

Multiply $120$ by $7$ .

$840$

Step 5

Since we multiplied by $1000$ to get rid of the decimals, divide the answer by $1000$ .

$0.84$