Question

what is the LCM of 12 9 6​

Answer 1

Step-by-step explanation:

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

9

has factors of

3

and

3

.

3

⋅

3

The prime factors for

12

are

2

⋅

2

⋅

3

.

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2

⋅

2

⋅

3

The LCM of

6

,

9

,

12

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

Answer 2

Answer:

LCM=

3 |12 , 6 , 9

2 |4 ,2 , 3

2 |2 , 1 , 3

3 |1 , 1 , 3

|1 , 1 , 1

So, 3 X 2 X 2 X 3=36 is the LCM

Hope it helps !!