Algebra Examples

$80$

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 prime factors for

$80$ are

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 5$ .

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Step 2.1

$80$ has factors of

$2$ and

$40$ .

$2 \cdot 40$

Step 2.2

$40$ has factors of

$2$ and

$20$ .

$2 \cdot 2 \cdot 20$

Step 2.3

$20$ has factors of

$2$ and

$10$ .

$2 \cdot 2 \cdot 2 \cdot 10$

Step 2.4

$10$ has factors of

$2$ and

$5$ .

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

Step 3

Multiply

$2 \cdot 2 \cdot 2 \cdot 2 \cdot 5$ .

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Step 3.1

Multiply

$2$ by

$2$ .

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

Step 3.2

Multiply

$4$ by

$2$ .

$8 \cdot 2 \cdot 5$

Step 3.3

Multiply

$8$ by

$2$ .

$16 \cdot 5$

Step 3.4

Multiply

$16$ by

$5$ .

$80$