Least Common Multiple of 5351/864, 4192/2943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5351/864, 4192/2943 quickly i.e. 22431392/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5351/864, 4192/2943 is 22431392/27.

LCM(5351/864, 4192/2943) = 22431392/27

LCM of 5351/864, 4192/2943

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 5351/864,4192/2943

Given numbers are 5351/864,4192/2943

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 5351,4192

Least Common Multiple of Numerators i.e. LCM of 5351,4192 is 22431392.

GCF of Denominators means GCF of 864,2943 as per the given fractions.

GCF of 864,2943 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5351,4192

LCM of Fractions 5351/864,4192/2943 is 22431392/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 22431392

Least Common Multiple of 5351,4192 with GCF Formula

Least Common Multiple of 5351,4192 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 5351,4192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5351,4192) = 1

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

GCF(5351,4192) x common factors =1 x 1 = 1

LCM(5351,4192) = ( 5351 × 4192 ) / 1

LCM(5351,4192) = 22431392 / 1

LCM(5351,4192) = 22431392


Lets's calculate GCF of 864,2943

3 864, 2943
3 288, 981
3 96, 327
32, 109

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22431392/27

Therefore the LCM of Fractions 5351/864,4192/2943 is 22431392/27

Greatest Common Factor of 864,2943 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,2943 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 2943

List of positive integer factors of 2943 that divides 2943 without a remainder.

1,3,9,27,109,327,981,2943

Greatest Common Factor

We found the factors 864,2943 . The biggest common factor number is the GCF number.
So the greatest common factor 864,2943 is 27.


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 5351/864, 4192/2943

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 5351/864, 4192/2943?

Answer: LCM of Numerators as per given numbers 5351/864, 4192/2943 is

LCM of Numerators i.e. for 5351,4192 is 22431392

GCF of denominators i.e. for 864,2943 is 27.

Thus, LCM of Fractions is 22431392/27.Finally, LCM of Fractions for 5351/864, 4192/2943 is 22431392/27.