Least Common Multiple of 3927/784, 8138/4876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3927/784, 8138/4876 quickly i.e. 31957926/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3927/784, 8138/4876 is 31957926/4.

LCM(3927/784, 8138/4876) = 31957926/4

LCM of 3927/784, 8138/4876

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 3927/784,8138/4876

Given numbers are 3927/784,8138/4876

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 3927,8138

Least Common Multiple of Numerators i.e. LCM of 3927,8138 is 31957926.

GCF of Denominators means GCF of 784,4876 as per the given fractions.

GCF of 784,4876 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3927,8138

LCM of Fractions 3927/784,8138/4876 is 31957926/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 31957926

Least Common Multiple of 3927,8138 with GCF Formula

Least Common Multiple of 3927,8138 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 3927,8138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3927,8138) = 1

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

GCF(3927,8138) x common factors =1 x 1 = 1

LCM(3927,8138) = ( 3927 × 8138 ) / 1

LCM(3927,8138) = 31957926 / 1

LCM(3927,8138) = 31957926


Lets's calculate GCF of 784,4876

2 784, 4876
2 392, 2438
196, 1219

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31957926/4

Therefore the LCM of Fractions 3927/784,8138/4876 is 31957926/4

Greatest Common Factor of 784,4876 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,4876 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 4876

List of positive integer factors of 4876 that divides 4876 without a remainder.

1,2,4,23,46,53,92,106,212,1219,2438,4876

Greatest Common Factor

We found the factors 784,4876 . The biggest common factor number is the GCF number.
So the greatest common factor 784,4876 is 4.


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 3927/784, 8138/4876

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 3927/784, 8138/4876?

Answer: LCM of Numerators as per given numbers 3927/784, 8138/4876 is

LCM of Numerators i.e. for 3927,8138 is 31957926

GCF of denominators i.e. for 784,4876 is 4.

Thus, LCM of Fractions is 31957926/4.Finally, LCM of Fractions for 3927/784, 8138/4876 is 31957926/4.