What is the LCM of 15, 27 and 45?

What's the Least Common Multiple (LCM) of 15, 27 and 45?

Answer

LCM of 15, 27 and 45 is

135

First common multiples: 135, 270, 405, …

135 is divisible by all three: 135 ÷ 15 = 9, 135 ÷ 27 = 5, 135 ÷ 45 = 3 — and 9, 5 and 3 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/15 by 9 and of y/27 by 5 and of z/45 by 3.

15 = 3 × 5

27 = 3³

45 = 3² × 5

Prime	15	27	45	Highest power
3	3	3³	3²	3³
5	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 = 3³ × 5 = 135

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
15	27	30	270
15	27	31	4,185
15	27	32	4,320
15	27	33	1,485
15	27	34	4,590
15	27	35	945
15	27	36	540
15	27	37	4,995
15	27	38	5,130
15	27	39	1,755
15	27	40	1,080
15	27	41	5,535
15	27	42	1,890
15	27	43	5,805
15	27	44	5,940
15	27	45	135
15	27	46	6,210
15	27	47	6,345
15	27	48	2,160
15	27	49	6,615
15	27	50	1,350
15	27	51	2,295
15	27	52	7,020
15	27	53	7,155
15	27	54	270
15	27	55	1,485
15	27	56	7,560
15	27	57	2,565
15	27	58	7,830
15	27	59	7,965

LCM for 15, 27 and 45

What's the Least Common Multiple (LCM) of 15, 27 and 45?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 15, 27 and 45?

How to find the LCM of 15, 27 and 45 by prime factorization?

Can you get the LCM of 15, 27 and 45 two numbers at a time?

Is 135 divisible by 15, 27 and 45?

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