Least Common Multiple of 4078/500, 5812/8238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4078/500, 5812/8238 quickly i.e. 5925334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4078/500, 5812/8238 is 5925334.

LCM(4078/500, 5812/8238) = 5925334

LCM of 4078/500, 5812/8238

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 4078/500,5812/8238

Given numbers are 4078/500,5812/8238

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 4078,5812

Least Common Multiple of Numerators i.e. LCM of 4078,5812 is 11850668.

GCF of Denominators means GCF of 500,8238 as per the given fractions.

GCF of 500,8238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4078,5812

LCM of Fractions 4078/500,5812/8238 is 5925334

2 4078, 5812
2039, 2906

∴ So the LCM of the given numbers is 2 x 2039 x 2906 = 11850668

Least Common Multiple of 4078,5812 with GCF Formula

Least Common Multiple of 4078,5812 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 4078,5812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4078,5812) = 2

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

GCF(4078,5812) x common factors =2 x 1 = 2

LCM(4078,5812) = ( 4078 × 5812 ) / 2

LCM(4078,5812) = 23701336 / 2

LCM(4078,5812) = 11850668


Lets's calculate GCF of 500,8238

2 500, 8238
250, 4119

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11850668/2

Therefore the LCM of Fractions 4078/500,5812/8238 is 5925334

Greatest Common Factor of 500,8238 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,8238 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Greatest Common Factor

We found the factors 500,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 500,8238 is 2.


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 4078/500, 5812/8238

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 4078/500, 5812/8238?

Answer: LCM of Numerators as per given numbers 4078/500, 5812/8238 is

LCM of Numerators i.e. for 4078,5812 is 11850668

GCF of denominators i.e. for 500,8238 is 2.

Thus, LCM of Fractions is 5925334.Finally, LCM of Fractions for 4078/500, 5812/8238 is 5925334.