What is the LCM of 30 and 140?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 140?

Answer: LCM of 30 and 140 is 420

(Four hundred twenty)

Finding LCM for 30 and 140 using GCF's of these numbers

The first method to find LCM for numbers 30 and 140 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 140 is 10, so

LCM = (30 × 140) ÷ 10

LCM = 4200 ÷ 10

LCM = 420

Finding LCM for 30 and 140 by Listing Multiples

The second method to find LCM for numbers 30 and 140 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480

Multiples of 140: 140, 280, 420, 560, 700

So the LCM for 30 and 140 is 420

Finding LCM for 30 and 140 by Prime Factorization

Another method to find LCM for numbers 30 and 140 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 2¹, 3¹, 5¹)

All Prime Factors of 140: 2, 2, 5, 7 (exponent form: 2², 5¹, 7¹)

2² × 3¹ × 5¹ × 7¹ = 420

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 30 and 140? (The answer is: 420). Select the first number (e.g. '30') and the second number (e.g. '140'). After that hit the 'Calculate' button.

Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

LCM Table

Number 1	Number 2	LCM
15	140	420
16	140	560
17	140	2380
18	140	1260
19	140	2660
20	140	140
21	140	420
22	140	1540
23	140	3220
24	140	840
25	140	700
26	140	1820
27	140	3780
28	140	140
29	140	4060
30	140	420
31	140	4340
32	140	1120
33	140	4620
34	140	2380
35	140	140
36	140	1260
37	140	5180
38	140	2660
39	140	5460
40	140	280
41	140	5740
42	140	420
43	140	6020
44	140	1540

LCM for 30 and 140

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 140?

Finding LCM for 30 and 140 using GCF's of these numbers

Finding LCM for 30 and 140 by Listing Multiples

Finding LCM for 30 and 140 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 30 and 140?

See Also