Least Common Multiple of 76/676, 2683/5645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/676, 2683/5645 quickly i.e. 203908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/676, 2683/5645 is 203908.

LCM(76/676, 2683/5645) = 203908

LCM of 76/676, 2683/5645

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 76/676,2683/5645

Given numbers are 76/676,2683/5645

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 76,2683

Least Common Multiple of Numerators i.e. LCM of 76,2683 is 203908.

GCF of Denominators means GCF of 676,5645 as per the given fractions.

GCF of 676,5645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,2683

LCM of Fractions 76/676,2683/5645 is 203908

Given numbers has no common factors except 1. So, there LCM is their product i.e 203908

Least Common Multiple of 76,2683 with GCF Formula

Least Common Multiple of 76,2683 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 76,2683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,2683) = 1

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

GCF(76,2683) x common factors =1 x 1 = 1

LCM(76,2683) = ( 76 × 2683 ) / 1

LCM(76,2683) = 203908 / 1

LCM(76,2683) = 203908


Lets's calculate GCF of 676,5645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203908/1

Therefore the LCM of Fractions 76/676,2683/5645 is 203908

Greatest Common Factor of 676,5645 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,5645 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 5645

List of positive integer factors of 5645 that divides 5645 without a remainder.

1,5,1129,5645

Greatest Common Factor

We found the factors 676,5645 . The biggest common factor number is the GCF number.
So the greatest common factor 676,5645 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 76/676, 2683/5645

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 76/676, 2683/5645?

Answer: LCM of Numerators as per given numbers 76/676, 2683/5645 is

LCM of Numerators i.e. for 76,2683 is 203908

GCF of denominators i.e. for 676,5645 is 1.

Thus, LCM of Fractions is 203908.Finally, LCM of Fractions for 76/676, 2683/5645 is 203908.