Least Common Multiple of 81/904, 27/872, 513/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/904, 27/872, 513/782 quickly i.e. 1539/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/904, 27/872, 513/782 is 1539/2.

LCM(81/904, 27/872, 513/782) = 1539/2

LCM of 81/904, 27/872, 513/782

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 81/904,27/872,513/782

Given numbers are 81/904,27/872,513/782

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 81,27,513

Least Common Multiple of Numerators i.e. LCM of 81,27,513 is 1539.

GCF of Denominators means GCF of 904,872,782 as per the given fractions.

GCF of 904,872,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,27,513

LCM of Fractions 81/904,27/872,513/782 is 1539/2

3 81, 27, 513
3 27, 9, 171
3 3, 9, 57
1, 3, 19

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 3 x 19 = 1539

Least Common Multiple of 81,27,513 with GCF Formula

Least Common Multiple of 81,27,513 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 81,27,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,27,513) = 27

common factors(in case of two or more numbers have common factors) = 27

GCF(81,27,513) x common factors =27 x 27 = 729

LCM(81,27,513) = ( 81 × 27 × 513 ) / 729

LCM(81,27,513) = 1121931 / 729

LCM(81,27,513) = 1539


Lets's calculate GCF of 904,872,782

2 904, 872, 782
452, 436, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1539/2

Therefore the LCM of Fractions 81/904,27/872,513/782 is 1539/2

Greatest Common Factor of 904,872,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,872,782 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 904,872,782 . The biggest common factor number is the GCF number.
So the greatest common factor 904,872,782 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 81/904, 27/872, 513/782

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 81/904, 27/872, 513/782?

Answer: LCM of Numerators as per given numbers 81/904, 27/872, 513/782 is

LCM of Numerators i.e. for 81,27,513 is 1539

GCF of denominators i.e. for 904,872,782 is 2.

Thus, LCM of Fractions is 1539/2.Finally, LCM of Fractions for 81/904, 27/872, 513/782 is 1539/2.