Least Common Multiple of 813/82, 329/56, 108/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/82, 329/56, 108/204 quickly i.e. 4814586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/82, 329/56, 108/204 is 4814586.

LCM(813/82, 329/56, 108/204) = 4814586

LCM of 813/82, 329/56, 108/204

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 813/82,329/56,108/204

Given numbers are 813/82,329/56,108/204

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 813,329,108

Least Common Multiple of Numerators i.e. LCM of 813,329,108 is 9629172.

GCF of Denominators means GCF of 82,56,204 as per the given fractions.

GCF of 82,56,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,329,108

LCM of Fractions 813/82,329/56,108/204 is 4814586

3 813, 329, 108
271, 329, 36

∴ So the LCM of the given numbers is 3 x 271 x 329 x 36 = 9629172

Least Common Multiple of 813,329,108 with GCF Formula

Least Common Multiple of 813,329,108 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 813,329,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,329,108) = 1

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

GCF(813,329,108) x common factors =1 x 3 = 3

LCM(813,329,108) = ( 813 × 329 × 108 ) / 3

LCM(813,329,108) = 28887516 / 3

LCM(813,329,108) = 9629172


Lets's calculate GCF of 82,56,204

2 82, 56, 204
41, 28, 102

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9629172/2

Therefore the LCM of Fractions 813/82,329/56,108/204 is 4814586

Greatest Common Factor of 82,56,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,56,204 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 82,56,204 . The biggest common factor number is the GCF number.
So the greatest common factor 82,56,204 is 2.


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 813/82, 329/56, 108/204

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 813/82, 329/56, 108/204?

Answer: LCM of Numerators as per given numbers 813/82, 329/56, 108/204 is

LCM of Numerators i.e. for 813,329,108 is 9629172

GCF of denominators i.e. for 82,56,204 is 2.

Thus, LCM of Fractions is 4814586.Finally, LCM of Fractions for 813/82, 329/56, 108/204 is 4814586.