What is the LCM of 2, 4 and 7?

What's the Least Common Multiple (LCM) of 2, 4 and 7?

Answer

LCM of 2, 4 and 7 is

28

First common multiples: 28, 56, 84, …

28 is divisible by all three: 28 ÷ 2 = 14, 28 ÷ 4 = 7, 28 ÷ 7 = 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/2 by 14 and of y/4 by 7 and of z/7 by 4.

2 — prime

4 = 2²

7 — prime

Prime	2	4	7	Highest power
2	2	2²	—	2²
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 × 7 = 28

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
1	2	4	4
2	2	4	4
2	3	4	12
2	4	4	4
2	4	5	20
2	4	6	12
2	4	7	28
2	4	8	8
2	4	9	36
2	4	10	20
2	4	11	44
2	4	12	12
2	4	13	52
2	4	14	28
2	4	15	60
2	4	16	16
2	4	17	68
2	4	18	36
2	4	19	76
2	4	20	20
2	4	21	84
2	4	22	44
2	4	23	92
2	4	24	24
2	4	25	100
2	4	26	52
2	4	27	108
2	4	28	28
2	4	29	116
2	4	30	60

LCM for 2, 4 and 7

What's the Least Common Multiple (LCM) of 2, 4 and 7?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 2, 4 and 7?

How to find the LCM of 2, 4 and 7 by prime factorization?

Can you get the LCM of 2, 4 and 7 two numbers at a time?

Is 28 divisible by 2, 4 and 7?

See Also

1st	2nd	3rd	LCM
1	2	4	4
2	2	4	4
2	3	4	12
2	4	4	4
2	4	5	20
2	4	6	12
2	4	7	28
2	4	8	8
2	4	9	36
2	4	10	20
2	4	11	44
2	4	12	12
2	4	13	52
2	4	14	28
2	4	15	60
2	4	16	16
2	4	17	68
2	4	18	36
2	4	19	76
2	4	20	20
2	4	21	84
2	4	22	44
2	4	23	92
2	4	24	24
2	4	25	100
2	4	26	52
2	4	27	108
2	4	28	28
2	4	29	116
2	4	30	60

1st	2nd	3rd	LCM
1	2	4	4
2	2	4	4
2	3	4	12
2	4	4	4
2	4	5	20
2	4	6	12
2	4	7	28
2	4	8	8
2	4	9	36
2	4	10	20
2	4	11	44
2	4	12	12
2	4	13	52
2	4	14	28
2	4	15	60
2	4	16	16
2	4	17	68
2	4	18	36
2	4	19	76
2	4	20	20
2	4	21	84
2	4	22	44
2	4	23	92
2	4	24	24
2	4	25	100
2	4	26	52
2	4	27	108
2	4	28	28
2	4	29	116
2	4	30	60

1st	2nd	3rd	LCM
1	2	4	4
2	2	4	4
2	3	4	12
2	4	4	4
2	4	5	20
2	4	6	12
2	4	7	28
2	4	8	8
2	4	9	36
2	4	10	20
2	4	11	44
2	4	12	12
2	4	13	52
2	4	14	28
2	4	15	60
2	4	16	16
2	4	17	68
2	4	18	36
2	4	19	76
2	4	20	20
2	4	21	84
2	4	22	44
2	4	23	92
2	4	24	24
2	4	25	100
2	4	26	52
2	4	27	108
2	4	28	28
2	4	29	116
2	4	30	60