Least Common Multiple of 7974/834, 4348/6391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7974/834, 4348/6391 quickly i.e. 17335476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7974/834, 4348/6391 is 17335476.

LCM(7974/834, 4348/6391) = 17335476

LCM of 7974/834, 4348/6391

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 7974/834,4348/6391

Given numbers are 7974/834,4348/6391

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 7974,4348

Least Common Multiple of Numerators i.e. LCM of 7974,4348 is 17335476.

GCF of Denominators means GCF of 834,6391 as per the given fractions.

GCF of 834,6391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7974,4348

LCM of Fractions 7974/834,4348/6391 is 17335476

2 7974, 4348
3987, 2174

∴ So the LCM of the given numbers is 2 x 3987 x 2174 = 17335476

Least Common Multiple of 7974,4348 with GCF Formula

Least Common Multiple of 7974,4348 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 7974,4348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7974,4348) = 2

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

GCF(7974,4348) x common factors =2 x 1 = 2

LCM(7974,4348) = ( 7974 × 4348 ) / 2

LCM(7974,4348) = 34670952 / 2

LCM(7974,4348) = 17335476


Lets's calculate GCF of 834,6391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17335476/1

Therefore the LCM of Fractions 7974/834,4348/6391 is 17335476

Greatest Common Factor of 834,6391 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,6391 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 6391

List of positive integer factors of 6391 that divides 6391 without a remainder.

1,7,11,77,83,581,913,6391

Greatest Common Factor

We found the factors 834,6391 . The biggest common factor number is the GCF number.
So the greatest common factor 834,6391 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 7974/834, 4348/6391

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 7974/834, 4348/6391?

Answer: LCM of Numerators as per given numbers 7974/834, 4348/6391 is

LCM of Numerators i.e. for 7974,4348 is 17335476

GCF of denominators i.e. for 834,6391 is 1.

Thus, LCM of Fractions is 17335476.Finally, LCM of Fractions for 7974/834, 4348/6391 is 17335476.