LCM for 3 and 30

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 3 and 30?

Answer

LCM of 3 and 30 is

First common multiples: 30, 60, 90, …

As a common denominator: multiply the top and bottom of x/3 by 10.

3 divides 30 (30 ÷ 3 = 10), so the LCM is the larger number itself.

3 — prime

30 = 2 × 3 × 5

Prime	3	30	Highest power
2	—	2	2
3	3	3	3
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

Number 1	Number 2	LCM
3	11	33
3	12	12
3	13	39
3	14	42
3	15	15
3	16	48
3	17	51
3	18	18
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156

FAQ

What's the Least Common Multiple (LCM) of 3 and 30?

LCM of 3 and 30 is 30

How to find the LCM of 3 and 30 using prime factorization?

To find the LCM of 3 and 30, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 30.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 3 and 30: LCM = 30, GCF = 3.

LCM for 3 and 30

What's the Least Common Multiple (LCM) of 3 and 30?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 3 and 30?

How to find the LCM of 3 and 30 using prime factorization?

What is the difference between LCM and GCF?

See Also

Number 1	Number 2	LCM
3	11	33
3	12	12
3	13	39
3	14	42
3	15	15
3	16	48
3	17	51
3	18	18
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156

Number 1	Number 2	LCM
3	11	33
3	12	12
3	13	39
3	14	42
3	15	15
3	16	48
3	17	51
3	18	18
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156

Number 1	Number 2	LCM
3	11	33
3	12	12
3	13	39
3	14	42
3	15	15
3	16	48
3	17	51
3	18	18
3	19	57
3	20	60
3	21	21
3	22	66
3	23	69
3	25	75
3	28	84
3	30	30
3	33	33
3	35	105
3	36	36
3	37	111
3	39	39
3	40	120
3	42	42
3	43	129
3	44	132
3	45	45
3	46	138
3	49	147
3	51	51
3	52	156