LCM for 6, 18 and 20

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 6, 18 and 20?

Answer

LCM of 6, 18 and 20 is

180

First common multiples: 180, 360, 540, …

180 is divisible by all three: 180 ÷ 6 = 30, 180 ÷ 18 = 10, 180 ÷ 20 = 9 — and 30, 10 and 9 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 30 and of y/18 by 10 and of z/20 by 9.

6 = 2 × 3

18 = 2 × 3²

20 = 2² × 5

Prime	6	18	20	Highest power
2	2	2	2²	2²
3	3	3²	—	3²
5	—	—	5	5

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2² × 3² × 5 = 180

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
5	6	18	90
6	6	18	18
6	7	18	126
6	8	18	72
6	9	18	18
6	10	18	90
6	11	18	198
6	12	18	36
6	13	18	234
6	14	18	126
6	15	18	90
6	16	18	144
6	17	18	306
6	18	18	18
6	18	19	342
6	18	20	180
6	18	21	126
6	18	22	198
6	18	23	414
6	18	24	72
6	18	25	450
6	18	26	234
6	18	27	54
6	18	28	252
6	18	29	522
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306

FAQ

What's the Least Common Multiple (LCM) of 6, 18 and 20?

LCM of 6, 18 and 20 is 180

How to find the LCM of 6, 18 and 20 by prime factorization?

Take every prime that appears in 6, 18 and 20 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 = 180.

Can you get the LCM of 6, 18 and 20 two numbers at a time?

Yes. The LCM of 6 and 18 is 18, and the LCM of 18 and 20 is 180 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 180 divisible by 6, 18 and 20?

Yes, and by definition it is the smallest positive integer that is: 180 ÷ 6, 180 ÷ 18 and 180 ÷ 20 all come out whole. Any other common multiple of 6, 18 and 20 is a multiple of 180.

LCM for 6, 18 and 20

What's the Least Common Multiple (LCM) of 6, 18 and 20?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6, 18 and 20?

How to find the LCM of 6, 18 and 20 by prime factorization?

Can you get the LCM of 6, 18 and 20 two numbers at a time?

Is 180 divisible by 6, 18 and 20?

See Also

1st	2nd	3rd	LCM
5	6	18	90
6	6	18	18
6	7	18	126
6	8	18	72
6	9	18	18
6	10	18	90
6	11	18	198
6	12	18	36
6	13	18	234
6	14	18	126
6	15	18	90
6	16	18	144
6	17	18	306
6	18	18	18
6	18	19	342
6	18	20	180
6	18	21	126
6	18	22	198
6	18	23	414
6	18	24	72
6	18	25	450
6	18	26	234
6	18	27	54
6	18	28	252
6	18	29	522
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306

1st	2nd	3rd	LCM
5	6	18	90
6	6	18	18
6	7	18	126
6	8	18	72
6	9	18	18
6	10	18	90
6	11	18	198
6	12	18	36
6	13	18	234
6	14	18	126
6	15	18	90
6	16	18	144
6	17	18	306
6	18	18	18
6	18	19	342
6	18	20	180
6	18	21	126
6	18	22	198
6	18	23	414
6	18	24	72
6	18	25	450
6	18	26	234
6	18	27	54
6	18	28	252
6	18	29	522
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306

1st	2nd	3rd	LCM
5	6	18	90
6	6	18	18
6	7	18	126
6	8	18	72
6	9	18	18
6	10	18	90
6	11	18	198
6	12	18	36
6	13	18	234
6	14	18	126
6	15	18	90
6	16	18	144
6	17	18	306
6	18	18	18
6	18	19	342
6	18	20	180
6	18	21	126
6	18	22	198
6	18	23	414
6	18	24	72
6	18	25	450
6	18	26	234
6	18	27	54
6	18	28	252
6	18	29	522
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306