Least Common Multiple of 522/831, 7841/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/831, 7841/343 quickly i.e. 4093002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/831, 7841/343 is 4093002.

LCM(522/831, 7841/343) = 4093002

LCM of 522/831, 7841/343

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 522/831,7841/343

Given numbers are 522/831,7841/343

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 522,7841

Least Common Multiple of Numerators i.e. LCM of 522,7841 is 4093002.

GCF of Denominators means GCF of 831,343 as per the given fractions.

GCF of 831,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,7841

LCM of Fractions 522/831,7841/343 is 4093002

Given numbers has no common factors except 1. So, there LCM is their product i.e 4093002

Least Common Multiple of 522,7841 with GCF Formula

Least Common Multiple of 522,7841 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 522,7841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,7841) = 1

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

GCF(522,7841) x common factors =1 x 1 = 1

LCM(522,7841) = ( 522 × 7841 ) / 1

LCM(522,7841) = 4093002 / 1

LCM(522,7841) = 4093002


Lets's calculate GCF of 831,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4093002/1

Therefore the LCM of Fractions 522/831,7841/343 is 4093002

Greatest Common Factor of 831,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,343 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 831,343 . The biggest common factor number is the GCF number.
So the greatest common factor 831,343 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 522/831, 7841/343

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 522/831, 7841/343?

Answer: LCM of Numerators as per given numbers 522/831, 7841/343 is

LCM of Numerators i.e. for 522,7841 is 4093002

GCF of denominators i.e. for 831,343 is 1.

Thus, LCM of Fractions is 4093002.Finally, LCM of Fractions for 522/831, 7841/343 is 4093002.