What is the LCM of 3, 4 and 18?

What's the Least Common Multiple (LCM) of 3, 4 and 18?

Answer

LCM of 3, 4 and 18 is

36

First common multiples: 36, 72, 108, …

36 is divisible by all three: 36 ÷ 3 = 12, 36 ÷ 4 = 9, 36 ÷ 18 = 2 — and 12, 9 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/3 by 12 and of y/4 by 9 and of z/18 by 2.

3 — prime

4 = 2²

18 = 2 × 3²

Prime	3	4	18	Highest power
2	—	2²	2	2²
3	3	—	3²	3²

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2² × 3² = 36

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
3	3	4	12
3	4	4	12
3	4	5	60
3	4	6	12
3	4	7	84
3	4	8	24
3	4	9	36
3	4	10	60
3	4	11	132
3	4	12	12
3	4	13	156
3	4	14	84
3	4	15	60
3	4	16	48
3	4	17	204
3	4	18	36
3	4	19	228
3	4	20	60
3	4	21	84
3	4	22	132
3	4	23	276
3	4	24	24
3	4	25	300
3	4	26	156
3	4	27	108
3	4	28	84
3	4	29	348
3	4	30	60
3	4	31	372
3	4	32	96

LCM for 3, 4 and 18

What's the Least Common Multiple (LCM) of 3, 4 and 18?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 3, 4 and 18?

How to find the LCM of 3, 4 and 18 by prime factorization?

Can you get the LCM of 3, 4 and 18 two numbers at a time?

Is 36 divisible by 3, 4 and 18?

See Also

1st	2nd	3rd	LCM
3	3	4	12
3	4	4	12
3	4	5	60
3	4	6	12
3	4	7	84
3	4	8	24
3	4	9	36
3	4	10	60
3	4	11	132
3	4	12	12
3	4	13	156
3	4	14	84
3	4	15	60
3	4	16	48
3	4	17	204
3	4	18	36
3	4	19	228
3	4	20	60
3	4	21	84
3	4	22	132
3	4	23	276
3	4	24	24
3	4	25	300
3	4	26	156
3	4	27	108
3	4	28	84
3	4	29	348
3	4	30	60
3	4	31	372
3	4	32	96

1st	2nd	3rd	LCM
3	3	4	12
3	4	4	12
3	4	5	60
3	4	6	12
3	4	7	84
3	4	8	24
3	4	9	36
3	4	10	60
3	4	11	132
3	4	12	12
3	4	13	156
3	4	14	84
3	4	15	60
3	4	16	48
3	4	17	204
3	4	18	36
3	4	19	228
3	4	20	60
3	4	21	84
3	4	22	132
3	4	23	276
3	4	24	24
3	4	25	300
3	4	26	156
3	4	27	108
3	4	28	84
3	4	29	348
3	4	30	60
3	4	31	372
3	4	32	96

1st	2nd	3rd	LCM
3	3	4	12
3	4	4	12
3	4	5	60
3	4	6	12
3	4	7	84
3	4	8	24
3	4	9	36
3	4	10	60
3	4	11	132
3	4	12	12
3	4	13	156
3	4	14	84
3	4	15	60
3	4	16	48
3	4	17	204
3	4	18	36
3	4	19	228
3	4	20	60
3	4	21	84
3	4	22	132
3	4	23	276
3	4	24	24
3	4	25	300
3	4	26	156
3	4	27	108
3	4	28	84
3	4	29	348
3	4	30	60
3	4	31	372
3	4	32	96