Least Common Multiple of 87/872, 873/380, 866/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/872, 873/380, 866/328 quickly i.e. 21924522/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/872, 873/380, 866/328 is 21924522/4.

LCM(87/872, 873/380, 866/328) = 21924522/4

LCM of 87/872, 873/380, 866/328

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 87/872,873/380,866/328

Given numbers are 87/872,873/380,866/328

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 87,873,866

Least Common Multiple of Numerators i.e. LCM of 87,873,866 is 21924522.

GCF of Denominators means GCF of 872,380,328 as per the given fractions.

GCF of 872,380,328 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,873,866

LCM of Fractions 87/872,873/380,866/328 is 21924522/4

3 87, 873, 866
29, 291, 866

∴ So the LCM of the given numbers is 3 x 29 x 291 x 866 = 21924522

Least Common Multiple of 87,873,866 with GCF Formula

Least Common Multiple of 87,873,866 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 87,873,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,873,866) = 1

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

GCF(87,873,866) x common factors =1 x 3 = 3

LCM(87,873,866) = ( 87 × 873 × 866 ) / 3

LCM(87,873,866) = 65773566 / 3

LCM(87,873,866) = 21924522


Lets's calculate GCF of 872,380,328

2 872, 380, 328
2 436, 190, 164
218, 95, 82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21924522/4

Therefore the LCM of Fractions 87/872,873/380,866/328 is 21924522/4

Greatest Common Factor of 872,380,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,380,328 By Matching Biggest Common Factor Method

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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 872,380,328 . The biggest common factor number is the GCF number.
So the greatest common factor 872,380,328 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 87/872, 873/380, 866/328

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 87/872, 873/380, 866/328?

Answer: LCM of Numerators as per given numbers 87/872, 873/380, 866/328 is

LCM of Numerators i.e. for 87,873,866 is 21924522

GCF of denominators i.e. for 872,380,328 is 4.

Thus, LCM of Fractions is 21924522/4.Finally, LCM of Fractions for 87/872, 873/380, 866/328 is 21924522/4.