What is lcm 5,12,15 ?

The solution to lcm 5,12,15 is 60

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Find the LCM 5 , 12 , 15

lcm

5, 12, 15

60

Solution steps

5, 12, 15

Prime factorization of

5 : 5

5

5

is a prime number, therefore no factorization is possible

= 5

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

15 : 3 \cdot 5

15

15

divides by

315 = 5 \cdot 3

= 3 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5

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

5, 12, 15

= 5 \cdot 2 \cdot 2 \cdot 3

Multiply the numbers:

5 \cdot 2 \cdot 2 \cdot 3 = 60

= 60

\frac{49}{8}

\frac{38}{2}

\frac{35}{9}

\frac{100}{42}

- 1.8