What is lcm 6,15,20 ?

The solution to lcm 6,15,20 is 60

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Find the LCM 6 , 15 , 20

lcm

6, 15, 20

60

Solution steps

6, 15, 20

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 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

Prime factorization of

20 : 2 \cdot 2 \cdot 5

20

20

divides by

220 = 10 \cdot 2

= 2 \cdot 10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5

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

6, 15, 20

= 2 \cdot 2 \cdot 3 \cdot 5

Multiply the numbers:

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

= 60

\frac{156}{13}

ro u n d t o t h e n e a res t h u n d re d t h 6.28

2.25

\frac{156}{2}

60 \cdot 10