Least Common Multiple of 96/813, 83/675, 459/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/813, 83/675, 459/843 quickly i.e. 406368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/813, 83/675, 459/843 is 406368.

LCM(96/813, 83/675, 459/843) = 406368

LCM of 96/813, 83/675, 459/843

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 96/813,83/675,459/843

Given numbers are 96/813,83/675,459/843

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 96,83,459

Least Common Multiple of Numerators i.e. LCM of 96,83,459 is 1219104.

GCF of Denominators means GCF of 813,675,843 as per the given fractions.

GCF of 813,675,843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,83,459

LCM of Fractions 96/813,83/675,459/843 is 406368

3 96, 83, 459
32, 83, 153

∴ So the LCM of the given numbers is 3 x 32 x 83 x 153 = 1219104

Least Common Multiple of 96,83,459 with GCF Formula

Least Common Multiple of 96,83,459 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 96,83,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,83,459) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,83,459) x common factors =1 x 3 = 3

LCM(96,83,459) = ( 96 × 83 × 459 ) / 3

LCM(96,83,459) = 3657312 / 3

LCM(96,83,459) = 1219104


Lets's calculate GCF of 813,675,843

3 813, 675, 843
271, 225, 281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1219104/3

Therefore the LCM of Fractions 96/813,83/675,459/843 is 406368

Greatest Common Factor of 813,675,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,675,843 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

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 813,675,843 . The biggest common factor number is the GCF number.
So the greatest common factor 813,675,843 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 96/813, 83/675, 459/843

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 96/813, 83/675, 459/843?

Answer: LCM of Numerators as per given numbers 96/813, 83/675, 459/843 is

LCM of Numerators i.e. for 96,83,459 is 1219104

GCF of denominators i.e. for 813,675,843 is 3.

Thus, LCM of Fractions is 406368.Finally, LCM of Fractions for 96/813, 83/675, 459/843 is 406368.