LCM for 10, 20 and 35

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 10, 20 and 35?

Answer

LCM of 10, 20 and 35 is

140

First common multiples: 140, 280, 420, …

140 is divisible by all three: 140 ÷ 10 = 14, 140 ÷ 20 = 7, 140 ÷ 35 = 4 — and 14, 7 and 4 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/10 by 14 and of y/20 by 7 and of z/35 by 4.

10 = 2 × 5

20 = 2² × 5

35 = 5 × 7

Prime	10	20	35	Highest power
2	2	2²	—	2²
5	5	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 = 2² × 5 × 7 = 140

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
10	20	20	20
10	20	21	420
10	20	22	220
10	20	23	460
10	20	24	120
10	20	25	100
10	20	26	260
10	20	27	540
10	20	28	140
10	20	29	580
10	20	30	60
10	20	31	620
10	20	32	160
10	20	33	660
10	20	34	340
10	20	35	140
10	20	36	180
10	20	37	740
10	20	38	380
10	20	39	780
10	20	40	40
10	20	41	820
10	20	42	420
10	20	43	860
10	20	44	220
10	20	45	180
10	20	46	460
10	20	47	940
10	20	48	240
10	20	49	980

FAQ

What's the Least Common Multiple (LCM) of 10, 20 and 35?

LCM of 10, 20 and 35 is 140

How to find the LCM of 10, 20 and 35 by prime factorization?

Take every prime that appears in 10, 20 and 35 to the highest power it reaches in any one of them and multiply: 2² × 5 × 7 = 140.

Can you get the LCM of 10, 20 and 35 two numbers at a time?

Yes. The LCM of 10 and 20 is 20, and the LCM of 20 and 35 is 140 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 140 divisible by 10, 20 and 35?

Yes, and by definition it is the smallest positive integer that is: 140 ÷ 10, 140 ÷ 20 and 140 ÷ 35 all come out whole. Any other common multiple of 10, 20 and 35 is a multiple of 140.

LCM for 10, 20 and 35

What's the Least Common Multiple (LCM) of 10, 20 and 35?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 10, 20 and 35?

How to find the LCM of 10, 20 and 35 by prime factorization?

Can you get the LCM of 10, 20 and 35 two numbers at a time?

Is 140 divisible by 10, 20 and 35?

See Also

1st	2nd	3rd	LCM
10	20	20	20
10	20	21	420
10	20	22	220
10	20	23	460
10	20	24	120
10	20	25	100
10	20	26	260
10	20	27	540
10	20	28	140
10	20	29	580
10	20	30	60
10	20	31	620
10	20	32	160
10	20	33	660
10	20	34	340
10	20	35	140
10	20	36	180
10	20	37	740
10	20	38	380
10	20	39	780
10	20	40	40
10	20	41	820
10	20	42	420
10	20	43	860
10	20	44	220
10	20	45	180
10	20	46	460
10	20	47	940
10	20	48	240
10	20	49	980

1st	2nd	3rd	LCM
10	20	20	20
10	20	21	420
10	20	22	220
10	20	23	460
10	20	24	120
10	20	25	100
10	20	26	260
10	20	27	540
10	20	28	140
10	20	29	580
10	20	30	60
10	20	31	620
10	20	32	160
10	20	33	660
10	20	34	340
10	20	35	140
10	20	36	180
10	20	37	740
10	20	38	380
10	20	39	780
10	20	40	40
10	20	41	820
10	20	42	420
10	20	43	860
10	20	44	220
10	20	45	180
10	20	46	460
10	20	47	940
10	20	48	240
10	20	49	980

1st	2nd	3rd	LCM
10	20	20	20
10	20	21	420
10	20	22	220
10	20	23	460
10	20	24	120
10	20	25	100
10	20	26	260
10	20	27	540
10	20	28	140
10	20	29	580
10	20	30	60
10	20	31	620
10	20	32	160
10	20	33	660
10	20	34	340
10	20	35	140
10	20	36	180
10	20	37	740
10	20	38	380
10	20	39	780
10	20	40	40
10	20	41	820
10	20	42	420
10	20	43	860
10	20	44	220
10	20	45	180
10	20	46	460
10	20	47	940
10	20	48	240
10	20	49	980