Least Common Multiple of 6938/43, 5126/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6938/43, 5126/829 quickly i.e. 17782094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6938/43, 5126/829 is 17782094.

LCM(6938/43, 5126/829) = 17782094

LCM of 6938/43, 5126/829

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 6938/43,5126/829

Given numbers are 6938/43,5126/829

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 6938,5126

Least Common Multiple of Numerators i.e. LCM of 6938,5126 is 17782094.

GCF of Denominators means GCF of 43,829 as per the given fractions.

GCF of 43,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6938,5126

LCM of Fractions 6938/43,5126/829 is 17782094

2 6938, 5126
3469, 2563

∴ So the LCM of the given numbers is 2 x 3469 x 2563 = 17782094

Least Common Multiple of 6938,5126 with GCF Formula

Least Common Multiple of 6938,5126 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 6938,5126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6938,5126) = 2

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

GCF(6938,5126) x common factors =2 x 1 = 2

LCM(6938,5126) = ( 6938 × 5126 ) / 2

LCM(6938,5126) = 35564188 / 2

LCM(6938,5126) = 17782094


Lets's calculate GCF of 43,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17782094/1

Therefore the LCM of Fractions 6938/43,5126/829 is 17782094

Greatest Common Factor of 43,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,829 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 43,829 . The biggest common factor number is the GCF number.
So the greatest common factor 43,829 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 6938/43, 5126/829

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 6938/43, 5126/829?

Answer: LCM of Numerators as per given numbers 6938/43, 5126/829 is

LCM of Numerators i.e. for 6938,5126 is 17782094

GCF of denominators i.e. for 43,829 is 1.

Thus, LCM of Fractions is 17782094.Finally, LCM of Fractions for 6938/43, 5126/829 is 17782094.