Least Common Multiple of 81/976, 81/819, 566/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/976, 81/819, 566/373 quickly i.e. 45846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/976, 81/819, 566/373 is 45846.

LCM(81/976, 81/819, 566/373) = 45846

LCM of 81/976, 81/819, 566/373

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 81/976,81/819,566/373

Given numbers are 81/976,81/819,566/373

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 81,81,566

Least Common Multiple of Numerators i.e. LCM of 81,81,566 is 45846.

GCF of Denominators means GCF of 976,819,373 as per the given fractions.

GCF of 976,819,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,81,566

LCM of Fractions 81/976,81/819,566/373 is 45846

3 81, 81, 566
3 27, 27, 566
3 9, 9, 566
3 3, 3, 566
1, 1, 566

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 1 x 1 x 566 = 45846

Least Common Multiple of 81,81,566 with GCF Formula

Least Common Multiple of 81,81,566 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 81,81,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,81,566) = 1

common factors(in case of two or more numbers have common factors) = 81

GCF(81,81,566) x common factors =1 x 81 = 81

LCM(81,81,566) = ( 81 × 81 × 566 ) / 81

LCM(81,81,566) = 3713526 / 81

LCM(81,81,566) = 45846


Lets's calculate GCF of 976,819,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45846/1

Therefore the LCM of Fractions 81/976,81/819,566/373 is 45846

Greatest Common Factor of 976,819,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,819,373 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

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

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 976,819,373 . The biggest common factor number is the GCF number.
So the greatest common factor 976,819,373 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 81/976, 81/819, 566/373

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 81/976, 81/819, 566/373?

Answer: LCM of Numerators as per given numbers 81/976, 81/819, 566/373 is

LCM of Numerators i.e. for 81,81,566 is 45846

GCF of denominators i.e. for 976,819,373 is 1.

Thus, LCM of Fractions is 45846.Finally, LCM of Fractions for 81/976, 81/819, 566/373 is 45846.