Least Common Multiple of 81/908, 921/224, 721/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/908, 921/224, 721/588 quickly i.e. 17929107/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/908, 921/224, 721/588 is 17929107/4.

LCM(81/908, 921/224, 721/588) = 17929107/4

LCM of 81/908, 921/224, 721/588

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 81/908,921/224,721/588

Given numbers are 81/908,921/224,721/588

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 81,921,721

Least Common Multiple of Numerators i.e. LCM of 81,921,721 is 17929107.

GCF of Denominators means GCF of 908,224,588 as per the given fractions.

GCF of 908,224,588 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,921,721

LCM of Fractions 81/908,921/224,721/588 is 17929107/4

3 81, 921, 721
27, 307, 721

∴ So the LCM of the given numbers is 3 x 27 x 307 x 721 = 17929107

Least Common Multiple of 81,921,721 with GCF Formula

Least Common Multiple of 81,921,721 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 81,921,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,921,721) = 1

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

GCF(81,921,721) x common factors =1 x 3 = 3

LCM(81,921,721) = ( 81 × 921 × 721 ) / 3

LCM(81,921,721) = 53787321 / 3

LCM(81,921,721) = 17929107


Lets's calculate GCF of 908,224,588

2 908, 224, 588
2 454, 112, 294
227, 56, 147

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17929107/4

Therefore the LCM of Fractions 81/908,921/224,721/588 is 17929107/4

Greatest Common Factor of 908,224,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,224,588 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 908,224,588 . The biggest common factor number is the GCF number.
So the greatest common factor 908,224,588 is 4.


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 81/908, 921/224, 721/588

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 81/908, 921/224, 721/588?

Answer: LCM of Numerators as per given numbers 81/908, 921/224, 721/588 is

LCM of Numerators i.e. for 81,921,721 is 17929107

GCF of denominators i.e. for 908,224,588 is 4.

Thus, LCM of Fractions is 17929107/4.Finally, LCM of Fractions for 81/908, 921/224, 721/588 is 17929107/4.