LCM for 2, 5 and 7

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 2, 5 and 7?

Answer

LCM of 2, 5 and 7 is

First common multiples: 70, 140, 210, …

70 is divisible by all three: 70 ÷ 2 = 35, 70 ÷ 5 = 14, 70 ÷ 7 = 10 — and 35, 14 and 10 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/2 by 35 and of y/5 by 14 and of z/7 by 10.

2 — prime

5 — prime

7 — prime

Prime	2	5	7	Highest power
2	2	—	—	2
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 = 2 × 5 × 7 = 70

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
1	2	5	10
2	2	5	10
2	3	5	30
2	4	5	20
2	5	5	10
2	5	6	30
2	5	7	70
2	5	8	40
2	5	9	90
2	5	10	10
2	5	11	110
2	5	12	60
2	5	13	130
2	5	14	70
2	5	15	30
2	5	16	80
2	5	17	170
2	5	18	90
2	5	19	190
2	5	20	20
2	5	21	210
2	5	22	110
2	5	23	230
2	5	24	120
2	5	25	50
2	5	26	130
2	5	27	270
2	5	28	140
2	5	29	290
2	5	30	30

FAQ

What's the Least Common Multiple (LCM) of 2, 5 and 7?

LCM of 2, 5 and 7 is 70

How to find the LCM of 2, 5 and 7 by prime factorization?

Take every prime that appears in 2, 5 and 7 to the highest power it reaches in any one of them and multiply: 2 × 5 × 7 = 70.

Can you get the LCM of 2, 5 and 7 two numbers at a time?

Yes. The LCM of 2 and 5 is 10, and the LCM of 10 and 7 is 70 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 70 divisible by 2, 5 and 7?

Yes, and by definition it is the smallest positive integer that is: 70 ÷ 2, 70 ÷ 5 and 70 ÷ 7 all come out whole. Any other common multiple of 2, 5 and 7 is a multiple of 70.

LCM for 2, 5 and 7

What's the Least Common Multiple (LCM) of 2, 5 and 7?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 2, 5 and 7?

How to find the LCM of 2, 5 and 7 by prime factorization?

Can you get the LCM of 2, 5 and 7 two numbers at a time?

Is 70 divisible by 2, 5 and 7?

See Also

1st	2nd	3rd	LCM
1	2	5	10
2	2	5	10
2	3	5	30
2	4	5	20
2	5	5	10
2	5	6	30
2	5	7	70
2	5	8	40
2	5	9	90
2	5	10	10
2	5	11	110
2	5	12	60
2	5	13	130
2	5	14	70
2	5	15	30
2	5	16	80
2	5	17	170
2	5	18	90
2	5	19	190
2	5	20	20
2	5	21	210
2	5	22	110
2	5	23	230
2	5	24	120
2	5	25	50
2	5	26	130
2	5	27	270
2	5	28	140
2	5	29	290
2	5	30	30

1st	2nd	3rd	LCM
1	2	5	10
2	2	5	10
2	3	5	30
2	4	5	20
2	5	5	10
2	5	6	30
2	5	7	70
2	5	8	40
2	5	9	90
2	5	10	10
2	5	11	110
2	5	12	60
2	5	13	130
2	5	14	70
2	5	15	30
2	5	16	80
2	5	17	170
2	5	18	90
2	5	19	190
2	5	20	20
2	5	21	210
2	5	22	110
2	5	23	230
2	5	24	120
2	5	25	50
2	5	26	130
2	5	27	270
2	5	28	140
2	5	29	290
2	5	30	30

1st	2nd	3rd	LCM
1	2	5	10
2	2	5	10
2	3	5	30
2	4	5	20
2	5	5	10
2	5	6	30
2	5	7	70
2	5	8	40
2	5	9	90
2	5	10	10
2	5	11	110
2	5	12	60
2	5	13	130
2	5	14	70
2	5	15	30
2	5	16	80
2	5	17	170
2	5	18	90
2	5	19	190
2	5	20	20
2	5	21	210
2	5	22	110
2	5	23	230
2	5	24	120
2	5	25	50
2	5	26	130
2	5	27	270
2	5	28	140
2	5	29	290
2	5	30	30