Algebra Examples

40

$40$

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

40

$40$ are

2 \cdot 2 \cdot 2 \cdot 5

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

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40

$40$ has factors of

2

$2$ and

20

$20$ .

2 \cdot 20

$2 \cdot 20$

20

$20$ has factors of

2

$2$ and

10

$10$ .

2 \cdot 2 \cdot 10

$2 \cdot 2 \cdot 10$

10

$10$ has factors of

2

$2$ and

5

$5$ .

2 \cdot 2 \cdot 2 \cdot 5

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

2 \cdot 2 \cdot 2 \cdot 5

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

Step 3

Multiply

2 \cdot 2 \cdot 2 \cdot 5

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

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Multiply

2

$2$ by

2

$2$ .

4 \cdot 2 \cdot 5

$4 \cdot 2 \cdot 5$

Multiply

4

$4$ by

2

$2$ .

8 \cdot 5

$8 \cdot 5$

Multiply

8

$8$ by

5

$5$ .

40

$40$

40

$40$

40

$40$

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