What is the LCM of 3, 6 and 7?

What's the Least Common Multiple (LCM) of 3, 6 and 7?

Answer

LCM of 3, 6 and 7 is

42

First common multiples: 42, 84, 126, …

42 is divisible by all three: 42 ÷ 3 = 14, 42 ÷ 6 = 7, 42 ÷ 7 = 6 — and 14, 7 and 6 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 14 and of y/6 by 7 and of z/7 by 6.

3 — prime

6 = 2 × 3

7 — prime

Prime	3	6	7	Highest power
2	—	2	—	2
3	3	3	—	3
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 × 3 × 7 = 42

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
1	3	6	6
2	3	6	6
3	3	6	6
3	4	6	12
3	5	6	30
3	6	6	6
3	6	7	42
3	6	8	24
3	6	9	18
3	6	10	30
3	6	11	66
3	6	12	12
3	6	13	78
3	6	14	42
3	6	15	30
3	6	16	48
3	6	17	102
3	6	18	18
3	6	19	114
3	6	20	60
3	6	21	42
3	6	22	66
3	6	23	138
3	6	24	24
3	6	25	150
3	6	26	78
3	6	27	54
3	6	28	84
3	6	29	174
3	6	30	30

LCM for 3, 6 and 7

What's the Least Common Multiple (LCM) of 3, 6 and 7?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 3, 6 and 7?

How to find the LCM of 3, 6 and 7 by prime factorization?

Can you get the LCM of 3, 6 and 7 two numbers at a time?

Is 42 divisible by 3, 6 and 7?

See Also

1st	2nd	3rd	LCM
1	3	6	6
2	3	6	6
3	3	6	6
3	4	6	12
3	5	6	30
3	6	6	6
3	6	7	42
3	6	8	24
3	6	9	18
3	6	10	30
3	6	11	66
3	6	12	12
3	6	13	78
3	6	14	42
3	6	15	30
3	6	16	48
3	6	17	102
3	6	18	18
3	6	19	114
3	6	20	60
3	6	21	42
3	6	22	66
3	6	23	138
3	6	24	24
3	6	25	150
3	6	26	78
3	6	27	54
3	6	28	84
3	6	29	174
3	6	30	30

1st	2nd	3rd	LCM
1	3	6	6
2	3	6	6
3	3	6	6
3	4	6	12
3	5	6	30
3	6	6	6
3	6	7	42
3	6	8	24
3	6	9	18
3	6	10	30
3	6	11	66
3	6	12	12
3	6	13	78
3	6	14	42
3	6	15	30
3	6	16	48
3	6	17	102
3	6	18	18
3	6	19	114
3	6	20	60
3	6	21	42
3	6	22	66
3	6	23	138
3	6	24	24
3	6	25	150
3	6	26	78
3	6	27	54
3	6	28	84
3	6	29	174
3	6	30	30

1st	2nd	3rd	LCM
1	3	6	6
2	3	6	6
3	3	6	6
3	4	6	12
3	5	6	30
3	6	6	6
3	6	7	42
3	6	8	24
3	6	9	18
3	6	10	30
3	6	11	66
3	6	12	12
3	6	13	78
3	6	14	42
3	6	15	30
3	6	16	48
3	6	17	102
3	6	18	18
3	6	19	114
3	6	20	60
3	6	21	42
3	6	22	66
3	6	23	138
3	6	24	24
3	6	25	150
3	6	26	78
3	6	27	54
3	6	28	84
3	6	29	174
3	6	30	30