Least Common Multiple of 6580/885, 2688/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6580/885, 2688/849 quickly i.e. 210560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6580/885, 2688/849 is 210560.

LCM(6580/885, 2688/849) = 210560

LCM of 6580/885, 2688/849

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 6580/885,2688/849

Given numbers are 6580/885,2688/849

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 6580,2688

Least Common Multiple of Numerators i.e. LCM of 6580,2688 is 631680.

GCF of Denominators means GCF of 885,849 as per the given fractions.

GCF of 885,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6580,2688

LCM of Fractions 6580/885,2688/849 is 210560

2 6580, 2688
2 3290, 1344
7 1645, 672
235, 96

∴ So the LCM of the given numbers is 2 x 2 x 7 x 235 x 96 = 631680

Least Common Multiple of 6580,2688 with GCF Formula

Least Common Multiple of 6580,2688 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 6580,2688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6580,2688) = 28

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

GCF(6580,2688) x common factors =28 x 1 = 28

LCM(6580,2688) = ( 6580 × 2688 ) / 28

LCM(6580,2688) = 17687040 / 28

LCM(6580,2688) = 631680


Lets's calculate GCF of 885,849

3 885, 849
295, 283

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 631680/3

Therefore the LCM of Fractions 6580/885,2688/849 is 210560

Greatest Common Factor of 885,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,849 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 885,849 . The biggest common factor number is the GCF number.
So the greatest common factor 885,849 is 3.


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 6580/885, 2688/849

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 6580/885, 2688/849?

Answer: LCM of Numerators as per given numbers 6580/885, 2688/849 is

LCM of Numerators i.e. for 6580,2688 is 631680

GCF of denominators i.e. for 885,849 is 3.

Thus, LCM of Fractions is 210560.Finally, LCM of Fractions for 6580/885, 2688/849 is 210560.