Least Common Multiple of 855/539, 2721/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 855/539, 2721/838 quickly i.e. 775485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/539, 2721/838 is 775485.

LCM(855/539, 2721/838) = 775485

LCM of 855/539, 2721/838

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 855/539,2721/838

Given numbers are 855/539,2721/838

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 855,2721

Least Common Multiple of Numerators i.e. LCM of 855,2721 is 775485.

GCF of Denominators means GCF of 539,838 as per the given fractions.

GCF of 539,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,2721

LCM of Fractions 855/539,2721/838 is 775485

3 855, 2721
285, 907

∴ So the LCM of the given numbers is 3 x 285 x 907 = 775485

Least Common Multiple of 855,2721 with GCF Formula

Least Common Multiple of 855,2721 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 855,2721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,2721) = 3

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

GCF(855,2721) x common factors =3 x 1 = 3

LCM(855,2721) = ( 855 × 2721 ) / 3

LCM(855,2721) = 2326455 / 3

LCM(855,2721) = 775485


Lets's calculate GCF of 539,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775485/1

Therefore the LCM of Fractions 855/539,2721/838 is 775485

Greatest Common Factor of 539,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,838 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 539,838 . The biggest common factor number is the GCF number.
So the greatest common factor 539,838 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 855/539, 2721/838

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 855/539, 2721/838?

Answer: LCM of Numerators as per given numbers 855/539, 2721/838 is

LCM of Numerators i.e. for 855,2721 is 775485

GCF of denominators i.e. for 539,838 is 1.

Thus, LCM of Fractions is 775485.Finally, LCM of Fractions for 855/539, 2721/838 is 775485.