What is the LCM of 6, 18 and 45?

What's the Least Common Multiple (LCM) of 6, 18 and 45?

Answer

LCM of 6, 18 and 45 is

90

First common multiples: 90, 180, 270, …

90 is divisible by all three: 90 ÷ 6 = 15, 90 ÷ 18 = 5, 90 ÷ 45 = 2 — and 15, 5 and 2 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 15 and of y/18 by 5 and of z/45 by 2.

6 = 2 × 3

18 = 2 × 3²

45 = 3² × 5

Prime	6	18	45	Highest power
2	2	2	—	2
3	3	3²	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 = 2 × 3² × 5 = 90

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
6	18	30	90
6	18	31	558
6	18	32	288
6	18	33	198
6	18	34	306
6	18	35	630
6	18	36	36
6	18	37	666
6	18	38	342
6	18	39	234
6	18	40	360
6	18	41	738
6	18	42	126
6	18	43	774
6	18	44	396
6	18	45	90
6	18	46	414
6	18	47	846
6	18	48	144
6	18	49	882
6	18	50	450
6	18	51	306
6	18	52	468
6	18	53	954
6	18	54	54
6	18	55	990
6	18	56	504
6	18	57	342
6	18	58	522
6	18	59	1,062

LCM for 6, 18 and 45

What's the Least Common Multiple (LCM) of 6, 18 and 45?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6, 18 and 45?

How to find the LCM of 6, 18 and 45 by prime factorization?

Can you get the LCM of 6, 18 and 45 two numbers at a time?

Is 90 divisible by 6, 18 and 45?

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