Least Common Multiple of 6379/977, 5391/5783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6379/977, 5391/5783 quickly i.e. 34389189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6379/977, 5391/5783 is 34389189.

LCM(6379/977, 5391/5783) = 34389189

LCM of 6379/977, 5391/5783

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 6379/977,5391/5783

Given numbers are 6379/977,5391/5783

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 6379,5391

Least Common Multiple of Numerators i.e. LCM of 6379,5391 is 34389189.

GCF of Denominators means GCF of 977,5783 as per the given fractions.

GCF of 977,5783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6379,5391

LCM of Fractions 6379/977,5391/5783 is 34389189

Given numbers has no common factors except 1. So, there LCM is their product i.e 34389189

Least Common Multiple of 6379,5391 with GCF Formula

Least Common Multiple of 6379,5391 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 6379,5391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6379,5391) = 1

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

GCF(6379,5391) x common factors =1 x 1 = 1

LCM(6379,5391) = ( 6379 × 5391 ) / 1

LCM(6379,5391) = 34389189 / 1

LCM(6379,5391) = 34389189


Lets's calculate GCF of 977,5783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34389189/1

Therefore the LCM of Fractions 6379/977,5391/5783 is 34389189

Greatest Common Factor of 977,5783 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,5783 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 5783

List of positive integer factors of 5783 that divides 5783 without a remainder.

1,5783

Greatest Common Factor

We found the factors 977,5783 . The biggest common factor number is the GCF number.
So the greatest common factor 977,5783 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6379/977, 5391/5783

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 6379/977, 5391/5783?

Answer: LCM of Numerators as per given numbers 6379/977, 5391/5783 is

LCM of Numerators i.e. for 6379,5391 is 34389189

GCF of denominators i.e. for 977,5783 is 1.

Thus, LCM of Fractions is 34389189.Finally, LCM of Fractions for 6379/977, 5391/5783 is 34389189.