Question

find the LCM of 6 12 18​

Answer 1

Answer:

Here is the answer... Step by step

Step-by-step explanation:

Find the LCM 6 , 12 , 18

6

,

12

,

18

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.

6

has factors of

2

and

3

.

2

⋅

3

The prime factors for

12

are

2

⋅

2

⋅

3

.

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2

⋅

2

⋅

3

The prime factors for

18

are

2

⋅

3

⋅

3

.

2

⋅

3

⋅

3

The LCM of

6

,

12

,

18

is the result of multiplying all prime factors the greatest number of times they occur in either number.

2

⋅

2

⋅

3

⋅

3

The LCM of

6

,

12

,

18

is

2

⋅

2

⋅

3

⋅

3

=

36

.

Tap for fewer steps...

Multiply

2

by

2

.

4

⋅

3

⋅

3

Multiply

4

by

3

.

12

⋅

3

Multiply

12

by

3

.

36