LCM for 2, 10 and 15

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 2, 10 and 15?

Answer

LCM of 2, 10 and 15 is

First common multiples: 30, 60, 90, …

30 is divisible by all three: 30 ÷ 2 = 15, 30 ÷ 10 = 3, 30 ÷ 15 = 2 — and 15, 3 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/2 by 15 and of y/10 by 3 and of z/15 by 2.

2 — prime

10 = 2 × 5

15 = 3 × 5

Prime	2	10	15	Highest power
2	2	2	—	2
3	—	—	3	3
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 = 2 × 3 × 5 = 30

More with these numbers

Related Calculations

LCM Table

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

FAQ

What's the Least Common Multiple (LCM) of 2, 10 and 15?

LCM of 2, 10 and 15 is 30

How to find the LCM of 2, 10 and 15 by prime factorization?

Take every prime that appears in 2, 10 and 15 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5 = 30.

Can you get the LCM of 2, 10 and 15 two numbers at a time?

Yes. The LCM of 2 and 10 is 10, and the LCM of 10 and 15 is 30 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 30 divisible by 2, 10 and 15?

Yes, and by definition it is the smallest positive integer that is: 30 ÷ 2, 30 ÷ 10 and 30 ÷ 15 all come out whole. Any other common multiple of 2, 10 and 15 is a multiple of 30.

LCM for 2, 10 and 15

What's the Least Common Multiple (LCM) of 2, 10 and 15?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 2, 10 and 15?

How to find the LCM of 2, 10 and 15 by prime factorization?

Can you get the LCM of 2, 10 and 15 two numbers at a time?

Is 30 divisible by 2, 10 and 15?

See Also

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

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

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