What is the LCM of 3, 27 and 35?

What's the Least Common Multiple (LCM) of 3, 27 and 35?

Answer

LCM of 3, 27 and 35 is

945

First common multiples: 945; 1,890; 2,835; …

945 is divisible by all three: 945 ÷ 3 = 315, 945 ÷ 27 = 35, 945 ÷ 35 = 27 — and 315, 35 and 27 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/3 by 315 and of y/27 by 35 and of z/35 by 27.

3 — prime

27 = 3³

35 = 5 × 7

Prime	3	27	35	Highest power
3	3	3³	—	3³
5	—	—	5	5
7	—	—	7	7

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

LCM = 3³ × 5 × 7 = 945

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
3	20	27	540
3	21	27	189
3	22	27	594
3	23	27	621
3	24	27	216
3	25	27	675
3	26	27	702
3	27	27	27
3	27	28	756
3	27	29	783
3	27	30	270
3	27	31	837
3	27	32	864
3	27	33	297
3	27	34	918
3	27	35	945
3	27	36	108
3	27	37	999
3	27	38	1,026
3	27	39	351
3	27	40	1,080
3	27	41	1,107
3	27	42	378
3	27	43	1,161
3	27	44	1,188
3	27	45	135
3	27	46	1,242
3	27	47	1,269
3	27	48	432
3	27	49	1,323

LCM for 3, 27 and 35

What's the Least Common Multiple (LCM) of 3, 27 and 35?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 3, 27 and 35?

How to find the LCM of 3, 27 and 35 by prime factorization?

Can you get the LCM of 3, 27 and 35 two numbers at a time?

Is 945 divisible by 3, 27 and 35?

See Also