Least Common Multiple of 683/507, 5234/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/507, 5234/838 quickly i.e. 3574822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/507, 5234/838 is 3574822.

LCM(683/507, 5234/838) = 3574822

LCM of 683/507, 5234/838

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 683/507,5234/838

Given numbers are 683/507,5234/838

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 683,5234

Least Common Multiple of Numerators i.e. LCM of 683,5234 is 3574822.

GCF of Denominators means GCF of 507,838 as per the given fractions.

GCF of 507,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,5234

LCM of Fractions 683/507,5234/838 is 3574822

Given numbers has no common factors except 1. So, there LCM is their product i.e 3574822

Least Common Multiple of 683,5234 with GCF Formula

Least Common Multiple of 683,5234 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 683,5234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,5234) = 1

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

GCF(683,5234) x common factors =1 x 1 = 1

LCM(683,5234) = ( 683 × 5234 ) / 1

LCM(683,5234) = 3574822 / 1

LCM(683,5234) = 3574822


Lets's calculate GCF of 507,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3574822/1

Therefore the LCM of Fractions 683/507,5234/838 is 3574822

Greatest Common Factor of 507,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,838 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 507,838 . The biggest common factor number is the GCF number.
So the greatest common factor 507,838 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 683/507, 5234/838

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 683/507, 5234/838?

Answer: LCM of Numerators as per given numbers 683/507, 5234/838 is

LCM of Numerators i.e. for 683,5234 is 3574822

GCF of denominators i.e. for 507,838 is 1.

Thus, LCM of Fractions is 3574822.Finally, LCM of Fractions for 683/507, 5234/838 is 3574822.