Least Common Multiple of 289/686, 2842/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/686, 2842/481 quickly i.e. 821338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/686, 2842/481 is 821338.

LCM(289/686, 2842/481) = 821338

LCM of 289/686, 2842/481

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 289/686,2842/481

Given numbers are 289/686,2842/481

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 289,2842

Least Common Multiple of Numerators i.e. LCM of 289,2842 is 821338.

GCF of Denominators means GCF of 686,481 as per the given fractions.

GCF of 686,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,2842

LCM of Fractions 289/686,2842/481 is 821338

Given numbers has no common factors except 1. So, there LCM is their product i.e 821338

Least Common Multiple of 289,2842 with GCF Formula

Least Common Multiple of 289,2842 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 289,2842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,2842) = 1

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

GCF(289,2842) x common factors =1 x 1 = 1

LCM(289,2842) = ( 289 × 2842 ) / 1

LCM(289,2842) = 821338 / 1

LCM(289,2842) = 821338


Lets's calculate GCF of 686,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 821338/1

Therefore the LCM of Fractions 289/686,2842/481 is 821338

Greatest Common Factor of 686,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,481 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 686,481 . The biggest common factor number is the GCF number.
So the greatest common factor 686,481 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 289/686, 2842/481

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 289/686, 2842/481?

Answer: LCM of Numerators as per given numbers 289/686, 2842/481 is

LCM of Numerators i.e. for 289,2842 is 821338

GCF of denominators i.e. for 686,481 is 1.

Thus, LCM of Fractions is 821338.Finally, LCM of Fractions for 289/686, 2842/481 is 821338.