Least Common Multiple of 58/939, 3694/6823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/939, 3694/6823 quickly i.e. 107126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/939, 3694/6823 is 107126.

LCM(58/939, 3694/6823) = 107126

LCM of 58/939, 3694/6823

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 58/939,3694/6823

Given numbers are 58/939,3694/6823

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 58,3694

Least Common Multiple of Numerators i.e. LCM of 58,3694 is 107126.

GCF of Denominators means GCF of 939,6823 as per the given fractions.

GCF of 939,6823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,3694

LCM of Fractions 58/939,3694/6823 is 107126

2 58, 3694
29, 1847

∴ So the LCM of the given numbers is 2 x 29 x 1847 = 107126

Least Common Multiple of 58,3694 with GCF Formula

Least Common Multiple of 58,3694 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 58,3694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,3694) = 2

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

GCF(58,3694) x common factors =2 x 1 = 2

LCM(58,3694) = ( 58 × 3694 ) / 2

LCM(58,3694) = 214252 / 2

LCM(58,3694) = 107126


Lets's calculate GCF of 939,6823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107126/1

Therefore the LCM of Fractions 58/939,3694/6823 is 107126

Greatest Common Factor of 939,6823 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,6823 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 6823

List of positive integer factors of 6823 that divides 6823 without a remainder.

1,6823

Greatest Common Factor

We found the factors 939,6823 . The biggest common factor number is the GCF number.
So the greatest common factor 939,6823 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 58/939, 3694/6823

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 58/939, 3694/6823?

Answer: LCM of Numerators as per given numbers 58/939, 3694/6823 is

LCM of Numerators i.e. for 58,3694 is 107126

GCF of denominators i.e. for 939,6823 is 1.

Thus, LCM of Fractions is 107126.Finally, LCM of Fractions for 58/939, 3694/6823 is 107126.