LCM for 30 and 340

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 340?

Answer: LCM of 30 and 340 is 1,020

(One thousand, twenty)

Finding LCM for 30 and 340 using GCF's of these numbers

The first method to find LCM for numbers 30 and 340 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 340 is 10, so

LCM = (30 × 340) ÷ 10

LCM = 10200 ÷ 10

LCM = 1020

Finding LCM for 30 and 340 by Listing Multiples

The second method to find LCM for numbers 30 and 340 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, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080

Multiples of 340: 340, 680, 1020, 1360, 1700

So the LCM for 30 and 340 is 1020

Finding LCM for 30 and 340 by Prime Factorization

Another method to find LCM for numbers 30 and 340 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 340: 2, 2, 5, 17 (exponent form: 22, 51, 171)

22 × 31 × 51 × 171 = 1020

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LCM Table

Number 1Number 2LCM
153401020
163401360
17340340
183403060
193406460
20340340
213407140
223403740
233407820
243402040
253401700
263404420
273409180
283402380
293409860
303401020
3134010540
323402720
3334011220
34340340
353402380
363403060
3734012580
383406460
3934013260
40340680
4134013940
423407140
4334014620
443403740

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 340? (The answer is: 1020). Select the first number (e.g. '30') and the second number (e.g. '340'). 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

Least Common Multiple of

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FAQ

What's the Least Common Multiple (LCM) of 30 and 340?

LCM of 30 and 340 is 1,020