LCM for 30 and 140

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

Related Calculations

LCM Table

Number 1Number 2LCM
15140420
16140560
171402380
181401260
191402660
20140140
21140420
221401540
231403220
24140840
25140700
261401820
271403780
28140140
291404060
30140
311404340
321401120
331404620
341402380
35140140
361401260
371405180
381402660
391405460
40140280
411405740
42140420
431406020
441401540

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

FAQ

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

LCM of 30 and 140 is 420