The solution to lcm 12,2,9 is 36

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Find the LCM 12 , 2 , 9

Solution

lcm

12, 2, 9

36

Solution steps

12, 2, 9

Prime factorization of

12 : 2 \cdot 2 \cdot 3

12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 3

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

9 : 3 \cdot 3

9

9

divides by

39 = 3 \cdot 3

= 3 \cdot 3

Compute a number comprised of factors that appear in at least one of the following:

12, 2, 9

= 2 \cdot 2 \cdot 3 \cdot 3

Multiply the numbers:

2 \cdot 2 \cdot 3 \cdot 3 = 36

= 36

\frac{12.8}{2}

80 \cdot 60

180 - 68

\frac{21}{5}

1 \frac{2}{5}