What is the LCM of 6, 18 and 20?

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

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