Least Common Multiple of 804/27, 556/83, 469/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/27, 556/83, 469/29 quickly i.e. 782292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/27, 556/83, 469/29 is 782292.

LCM(804/27, 556/83, 469/29) = 782292

LCM of 804/27, 556/83, 469/29

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 804/27,556/83,469/29

Given numbers are 804/27,556/83,469/29

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 804,556,469

Least Common Multiple of Numerators i.e. LCM of 804,556,469 is 782292.

GCF of Denominators means GCF of 27,83,29 as per the given fractions.

GCF of 27,83,29 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,556,469

LCM of Fractions 804/27,556/83,469/29 is 782292

2 804, 556, 469
2 402, 278, 469
67 201, 139, 469
3, 139, 7

∴ So the LCM of the given numbers is 2 x 2 x 67 x 3 x 139 x 7 = 782292

Least Common Multiple of 804,556,469 with GCF Formula

Least Common Multiple of 804,556,469 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 804,556,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,556,469) = 1

common factors(in case of two or more numbers have common factors) = 268

GCF(804,556,469) x common factors =1 x 268 = 268

LCM(804,556,469) = ( 804 × 556 × 469 ) / 268

LCM(804,556,469) = 209654256 / 268

LCM(804,556,469) = 782292


Lets's calculate GCF of 27,83,29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 782292/1

Therefore the LCM of Fractions 804/27,556/83,469/29 is 782292

Greatest Common Factor of 27,83,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,83,29 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Greatest Common Factor

We found the factors 27,83,29 . The biggest common factor number is the GCF number.
So the greatest common factor 27,83,29 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 804/27, 556/83, 469/29

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 804/27, 556/83, 469/29?

Answer: LCM of Numerators as per given numbers 804/27, 556/83, 469/29 is

LCM of Numerators i.e. for 804,556,469 is 782292

GCF of denominators i.e. for 27,83,29 is 1.

Thus, LCM of Fractions is 782292.Finally, LCM of Fractions for 804/27, 556/83, 469/29 is 782292.