Least Common Multiple of 428/595, 831/591, 329/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 428/595, 831/591, 329/670 quickly i.e. 117014772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/595, 831/591, 329/670 is 117014772.

LCM(428/595, 831/591, 329/670) = 117014772

LCM of 428/595, 831/591, 329/670

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 428/595,831/591,329/670

Given numbers are 428/595,831/591,329/670

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 428,831,329

Least Common Multiple of Numerators i.e. LCM of 428,831,329 is 117014772.

GCF of Denominators means GCF of 595,591,670 as per the given fractions.

GCF of 595,591,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,831,329

LCM of Fractions 428/595,831/591,329/670 is 117014772

Given numbers has no common factors except 1. So, there LCM is their product i.e 117014772

Least Common Multiple of 428,831,329 with GCF Formula

Least Common Multiple of 428,831,329 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 428,831,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,831,329) = 1

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

GCF(428,831,329) x common factors =1 x 1 = 1

LCM(428,831,329) = ( 428 × 831 × 329 ) / 1

LCM(428,831,329) = 117014772 / 1

LCM(428,831,329) = 117014772


Lets's calculate GCF of 595,591,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117014772/1

Therefore the LCM of Fractions 428/595,831/591,329/670 is 117014772

Greatest Common Factor of 595,591,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,591,670 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 595,591,670 . The biggest common factor number is the GCF number.
So the greatest common factor 595,591,670 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 428/595, 831/591, 329/670

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 428/595, 831/591, 329/670?

Answer: LCM of Numerators as per given numbers 428/595, 831/591, 329/670 is

LCM of Numerators i.e. for 428,831,329 is 117014772

GCF of denominators i.e. for 595,591,670 is 1.

Thus, LCM of Fractions is 117014772.Finally, LCM of Fractions for 428/595, 831/591, 329/670 is 117014772.