Least Common Multiple of 539/78, 655/96, 343/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/78, 655/96, 343/843 quickly i.e. 2471315/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/78, 655/96, 343/843 is 2471315/3.

LCM(539/78, 655/96, 343/843) = 2471315/3

LCM of 539/78, 655/96, 343/843

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 539/78,655/96,343/843

Given numbers are 539/78,655/96,343/843

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 539,655,343

Least Common Multiple of Numerators i.e. LCM of 539,655,343 is 2471315.

GCF of Denominators means GCF of 78,96,843 as per the given fractions.

GCF of 78,96,843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,655,343

LCM of Fractions 539/78,655/96,343/843 is 2471315/3

7 539, 655, 343
7 77, 655, 49
11, 655, 7

∴ So the LCM of the given numbers is 7 x 7 x 11 x 655 x 7 = 2471315

Least Common Multiple of 539,655,343 with GCF Formula

Least Common Multiple of 539,655,343 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 539,655,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,655,343) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(539,655,343) x common factors =1 x 49 = 49

LCM(539,655,343) = ( 539 × 655 × 343 ) / 49

LCM(539,655,343) = 121094435 / 49

LCM(539,655,343) = 2471315


Lets's calculate GCF of 78,96,843

3 78, 96, 843
26, 32, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2471315/3

Therefore the LCM of Fractions 539/78,655/96,343/843 is 2471315/3

Greatest Common Factor of 78,96,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,96,843 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 78,96,843 . The biggest common factor number is the GCF number.
So the greatest common factor 78,96,843 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 539/78, 655/96, 343/843

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 539/78, 655/96, 343/843?

Answer: LCM of Numerators as per given numbers 539/78, 655/96, 343/843 is

LCM of Numerators i.e. for 539,655,343 is 2471315

GCF of denominators i.e. for 78,96,843 is 3.

Thus, LCM of Fractions is 2471315/3.Finally, LCM of Fractions for 539/78, 655/96, 343/843 is 2471315/3.