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LCM for 30 and 370

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 370?

Answer

LCM of 30 and 370 is 1,110

(One thousand, one hundred ten)

Finding LCM for 30 and 370 using GCF of these numbers

The first method to find LCM for numbers 30 and 370 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 370 is 10, so

LCM = (30 × 370) ÷ 10

LCM = 11100 ÷ 10

LCM = 1110

Finding LCM for 30 and 370 by Listing Multiples

The second method to find LCM for numbers 30 and 370 is to list out the common multiples for both numbers and pick the first one that matches:

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, 1110, 1140, 1170

Multiples of 370: 370, 740, 1110, 1480, 1850

So the LCM for 30 and 370 is 1110

Finding LCM for 30 and 370 by Prime Factorization

Another method to find LCM for numbers 30 and 370 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 370: 2, 5, 37 (exponent form: 21, 51, 371)

21 × 31 × 51 × 371 = 1110

Related Calculations

See Also

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What is the LCM of 30 and 370?. Find the LCM of 30 and 370 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
153701110
163702960
173706290
183703330
193707030
20370740
213707770
223704070
233708510
243704440
253701850
263704810
273709990
283705180
2937010730
303701110
3137011470
323705920
3337012210
343706290
353702590
363706660
37370370
383707030
3937014430
403701480
4137015170
423707770
4337015910
443708140

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 370? (The answer is: 1110). Select the first number (e.g. '30') and the second number (e.g. '370'). 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

and

FAQ

What's the Least Common Multiple (LCM) of 30 and 370?

LCM of 30 and 370 is 1,110

How to find the LCM of 30 and 370 using prime factorization?

To find the LCM of 30 and 370, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,110.

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 30 and 370: LCM = 1,110, GCF = 10.

See Also