Least Common Multiple of 843/55, 711/6177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 843/55, 711/6177 quickly i.e. 199791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/55, 711/6177 is 199791.

LCM(843/55, 711/6177) = 199791

LCM of 843/55, 711/6177

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 843/55,711/6177

Given numbers are 843/55,711/6177

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 843,711

Least Common Multiple of Numerators i.e. LCM of 843,711 is 199791.

GCF of Denominators means GCF of 55,6177 as per the given fractions.

GCF of 55,6177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,711

LCM of Fractions 843/55,711/6177 is 199791

3 843, 711
281, 237

∴ So the LCM of the given numbers is 3 x 281 x 237 = 199791

Least Common Multiple of 843,711 with GCF Formula

Least Common Multiple of 843,711 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 843,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,711) = 3

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

GCF(843,711) x common factors =3 x 1 = 3

LCM(843,711) = ( 843 × 711 ) / 3

LCM(843,711) = 599373 / 3

LCM(843,711) = 199791


Lets's calculate GCF of 55,6177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199791/1

Therefore the LCM of Fractions 843/55,711/6177 is 199791

Greatest Common Factor of 55,6177 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,6177 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 6177

List of positive integer factors of 6177 that divides 6177 without a remainder.

1,3,29,71,87,213,2059,6177

Greatest Common Factor

We found the factors 55,6177 . The biggest common factor number is the GCF number.
So the greatest common factor 55,6177 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 843/55, 711/6177

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 843/55, 711/6177?

Answer: LCM of Numerators as per given numbers 843/55, 711/6177 is

LCM of Numerators i.e. for 843,711 is 199791

GCF of denominators i.e. for 55,6177 is 1.

Thus, LCM of Fractions is 199791.Finally, LCM of Fractions for 843/55, 711/6177 is 199791.