Least Common Multiple of 5836/582, 8346/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5836/582, 8346/876 quickly i.e. 4058938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5836/582, 8346/876 is 4058938.

LCM(5836/582, 8346/876) = 4058938

LCM of 5836/582, 8346/876

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 5836/582,8346/876

Given numbers are 5836/582,8346/876

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 5836,8346

Least Common Multiple of Numerators i.e. LCM of 5836,8346 is 24353628.

GCF of Denominators means GCF of 582,876 as per the given fractions.

GCF of 582,876 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5836,8346

LCM of Fractions 5836/582,8346/876 is 4058938

2 5836, 8346
2918, 4173

∴ So the LCM of the given numbers is 2 x 2918 x 4173 = 24353628

Least Common Multiple of 5836,8346 with GCF Formula

Least Common Multiple of 5836,8346 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 5836,8346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5836,8346) = 2

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

GCF(5836,8346) x common factors =2 x 1 = 2

LCM(5836,8346) = ( 5836 × 8346 ) / 2

LCM(5836,8346) = 48707256 / 2

LCM(5836,8346) = 24353628


Lets's calculate GCF of 582,876

2 582, 876
3 291, 438
97, 146

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24353628/6

Therefore the LCM of Fractions 5836/582,8346/876 is 4058938

Greatest Common Factor of 582,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,876 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 582,876 . The biggest common factor number is the GCF number.
So the greatest common factor 582,876 is 6.


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 5836/582, 8346/876

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 5836/582, 8346/876?

Answer: LCM of Numerators as per given numbers 5836/582, 8346/876 is

LCM of Numerators i.e. for 5836,8346 is 24353628

GCF of denominators i.e. for 582,876 is 6.

Thus, LCM of Fractions is 4058938.Finally, LCM of Fractions for 5836/582, 8346/876 is 4058938.