Least Common Multiple of 27/228, 981/747, 929/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/228, 981/747, 929/819 quickly i.e. 911349 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/228, 981/747, 929/819 is 911349.

LCM(27/228, 981/747, 929/819) = 911349

LCM of 27/228, 981/747, 929/819

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 27/228,981/747,929/819

Given numbers are 27/228,981/747,929/819

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 27,981,929

Least Common Multiple of Numerators i.e. LCM of 27,981,929 is 2734047.

GCF of Denominators means GCF of 228,747,819 as per the given fractions.

GCF of 228,747,819 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,981,929

LCM of Fractions 27/228,981/747,929/819 is 911349

3 27, 981, 929
3 9, 327, 929
3, 109, 929

∴ So the LCM of the given numbers is 3 x 3 x 3 x 109 x 929 = 2734047

Least Common Multiple of 27,981,929 with GCF Formula

Least Common Multiple of 27,981,929 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 27,981,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,981,929) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(27,981,929) x common factors =1 x 9 = 9

LCM(27,981,929) = ( 27 × 981 × 929 ) / 9

LCM(27,981,929) = 24606423 / 9

LCM(27,981,929) = 2734047


Lets's calculate GCF of 228,747,819

3 228, 747, 819
76, 249, 273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2734047/3

Therefore the LCM of Fractions 27/228,981/747,929/819 is 911349

Greatest Common Factor of 228,747,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,747,819 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 228,747,819 . The biggest common factor number is the GCF number.
So the greatest common factor 228,747,819 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 27/228, 981/747, 929/819

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 27/228, 981/747, 929/819?

Answer: LCM of Numerators as per given numbers 27/228, 981/747, 929/819 is

LCM of Numerators i.e. for 27,981,929 is 2734047

GCF of denominators i.e. for 228,747,819 is 3.

Thus, LCM of Fractions is 911349.Finally, LCM of Fractions for 27/228, 981/747, 929/819 is 911349.