Least Common Multiple of 873/680, 6598/6586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/680, 6598/6586 quickly i.e. 2880027 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/680, 6598/6586 is 2880027.

LCM(873/680, 6598/6586) = 2880027

LCM of 873/680, 6598/6586

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 873/680,6598/6586

Given numbers are 873/680,6598/6586

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 873,6598

Least Common Multiple of Numerators i.e. LCM of 873,6598 is 5760054.

GCF of Denominators means GCF of 680,6586 as per the given fractions.

GCF of 680,6586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,6598

LCM of Fractions 873/680,6598/6586 is 2880027

Given numbers has no common factors except 1. So, there LCM is their product i.e 5760054

Least Common Multiple of 873,6598 with GCF Formula

Least Common Multiple of 873,6598 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 873,6598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,6598) = 1

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

GCF(873,6598) x common factors =1 x 1 = 1

LCM(873,6598) = ( 873 × 6598 ) / 1

LCM(873,6598) = 5760054 / 1

LCM(873,6598) = 5760054


Lets's calculate GCF of 680,6586

2 680, 6586
340, 3293

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5760054/2

Therefore the LCM of Fractions 873/680,6598/6586 is 2880027

Greatest Common Factor of 680,6586 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,6586 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 6586

List of positive integer factors of 6586 that divides 6586 without a remainder.

1,2,37,74,89,178,3293,6586

Greatest Common Factor

We found the factors 680,6586 . The biggest common factor number is the GCF number.
So the greatest common factor 680,6586 is 2.


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 873/680, 6598/6586

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 873/680, 6598/6586?

Answer: LCM of Numerators as per given numbers 873/680, 6598/6586 is

LCM of Numerators i.e. for 873,6598 is 5760054

GCF of denominators i.e. for 680,6586 is 2.

Thus, LCM of Fractions is 2880027.Finally, LCM of Fractions for 873/680, 6598/6586 is 2880027.