Least Common Multiple of 309/82, 1043/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/82, 1043/891 quickly i.e. 322287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/82, 1043/891 is 322287.

LCM(309/82, 1043/891) = 322287

LCM of 309/82, 1043/891

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 309/82,1043/891

Given numbers are 309/82,1043/891

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 309,1043

Least Common Multiple of Numerators i.e. LCM of 309,1043 is 322287.

GCF of Denominators means GCF of 82,891 as per the given fractions.

GCF of 82,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,1043

LCM of Fractions 309/82,1043/891 is 322287

Given numbers has no common factors except 1. So, there LCM is their product i.e 322287

Least Common Multiple of 309,1043 with GCF Formula

Least Common Multiple of 309,1043 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 309,1043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,1043) = 1

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

GCF(309,1043) x common factors =1 x 1 = 1

LCM(309,1043) = ( 309 × 1043 ) / 1

LCM(309,1043) = 322287 / 1

LCM(309,1043) = 322287


Lets's calculate GCF of 82,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322287/1

Therefore the LCM of Fractions 309/82,1043/891 is 322287

Greatest Common Factor of 82,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,891 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 82,891 . The biggest common factor number is the GCF number.
So the greatest common factor 82,891 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 309/82, 1043/891

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 309/82, 1043/891?

Answer: LCM of Numerators as per given numbers 309/82, 1043/891 is

LCM of Numerators i.e. for 309,1043 is 322287

GCF of denominators i.e. for 82,891 is 1.

Thus, LCM of Fractions is 322287.Finally, LCM of Fractions for 309/82, 1043/891 is 322287.