Least Common Multiple of 930/331, 6514/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 930/331, 6514/581 quickly i.e. 3029010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/331, 6514/581 is 3029010.

LCM(930/331, 6514/581) = 3029010

LCM of 930/331, 6514/581

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 930/331,6514/581

Given numbers are 930/331,6514/581

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 930,6514

Least Common Multiple of Numerators i.e. LCM of 930,6514 is 3029010.

GCF of Denominators means GCF of 331,581 as per the given fractions.

GCF of 331,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,6514

LCM of Fractions 930/331,6514/581 is 3029010

2 930, 6514
465, 3257

∴ So the LCM of the given numbers is 2 x 465 x 3257 = 3029010

Least Common Multiple of 930,6514 with GCF Formula

Least Common Multiple of 930,6514 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 930,6514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,6514) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(930,6514) x common factors =2 x 1 = 2

LCM(930,6514) = ( 930 × 6514 ) / 2

LCM(930,6514) = 6058020 / 2

LCM(930,6514) = 3029010


Lets's calculate GCF of 331,581

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3029010/1

Therefore the LCM of Fractions 930/331,6514/581 is 3029010

Greatest Common Factor of 331,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,581 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 331,581 . The biggest common factor number is the GCF number.
So the greatest common factor 331,581 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 930/331, 6514/581

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 930/331, 6514/581?

Answer: LCM of Numerators as per given numbers 930/331, 6514/581 is

LCM of Numerators i.e. for 930,6514 is 3029010

GCF of denominators i.e. for 331,581 is 1.

Thus, LCM of Fractions is 3029010.Finally, LCM of Fractions for 930/331, 6514/581 is 3029010.