Least Common Multiple of 3978/516, 1943/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3978/516, 1943/831 quickly i.e. 2576418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3978/516, 1943/831 is 2576418.

LCM(3978/516, 1943/831) = 2576418

LCM of 3978/516, 1943/831

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 3978/516,1943/831

Given numbers are 3978/516,1943/831

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 3978,1943

Least Common Multiple of Numerators i.e. LCM of 3978,1943 is 7729254.

GCF of Denominators means GCF of 516,831 as per the given fractions.

GCF of 516,831 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3978,1943

LCM of Fractions 3978/516,1943/831 is 2576418

Given numbers has no common factors except 1. So, there LCM is their product i.e 7729254

Least Common Multiple of 3978,1943 with GCF Formula

Least Common Multiple of 3978,1943 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 3978,1943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3978,1943) = 1

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

GCF(3978,1943) x common factors =1 x 1 = 1

LCM(3978,1943) = ( 3978 × 1943 ) / 1

LCM(3978,1943) = 7729254 / 1

LCM(3978,1943) = 7729254


Lets's calculate GCF of 516,831

3 516, 831
172, 277

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7729254/3

Therefore the LCM of Fractions 3978/516,1943/831 is 2576418

Greatest Common Factor of 516,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,831 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 516,831 . The biggest common factor number is the GCF number.
So the greatest common factor 516,831 is 3.


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 3978/516, 1943/831

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 3978/516, 1943/831?

Answer: LCM of Numerators as per given numbers 3978/516, 1943/831 is

LCM of Numerators i.e. for 3978,1943 is 7729254

GCF of denominators i.e. for 516,831 is 3.

Thus, LCM of Fractions is 2576418.Finally, LCM of Fractions for 3978/516, 1943/831 is 2576418.