Least Common Multiple of 289/82, 839/1271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/82, 839/1271 quickly i.e. 242471/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/82, 839/1271 is 242471/41.

LCM(289/82, 839/1271) = 242471/41

LCM of 289/82, 839/1271

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 289/82,839/1271

Given numbers are 289/82,839/1271

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 289,839

Least Common Multiple of Numerators i.e. LCM of 289,839 is 242471.

GCF of Denominators means GCF of 82,1271 as per the given fractions.

GCF of 82,1271 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,839

LCM of Fractions 289/82,839/1271 is 242471/41

Given numbers has no common factors except 1. So, there LCM is their product i.e 242471

Least Common Multiple of 289,839 with GCF Formula

Least Common Multiple of 289,839 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 289,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,839) = 1

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

GCF(289,839) x common factors =1 x 1 = 1

LCM(289,839) = ( 289 × 839 ) / 1

LCM(289,839) = 242471 / 1

LCM(289,839) = 242471


Lets's calculate GCF of 82,1271

41 82, 1271
2, 31

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242471/41

Therefore the LCM of Fractions 289/82,839/1271 is 242471/41

Greatest Common Factor of 82,1271 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,1271 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 1271

List of positive integer factors of 1271 that divides 1271 without a remainder.

1,31,41,1271

Greatest Common Factor

We found the factors 82,1271 . The biggest common factor number is the GCF number.
So the greatest common factor 82,1271 is 41.


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 289/82, 839/1271

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 289/82, 839/1271?

Answer: LCM of Numerators as per given numbers 289/82, 839/1271 is

LCM of Numerators i.e. for 289,839 is 242471

GCF of denominators i.e. for 82,1271 is 41.

Thus, LCM of Fractions is 242471/41.Finally, LCM of Fractions for 289/82, 839/1271 is 242471/41.