Least Common Multiple of 57/882, 2181/8367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/882, 2181/8367 quickly i.e. 13813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/882, 2181/8367 is 13813.

LCM(57/882, 2181/8367) = 13813

LCM of 57/882, 2181/8367

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 57/882,2181/8367

Given numbers are 57/882,2181/8367

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 57,2181

Least Common Multiple of Numerators i.e. LCM of 57,2181 is 41439.

GCF of Denominators means GCF of 882,8367 as per the given fractions.

GCF of 882,8367 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,2181

LCM of Fractions 57/882,2181/8367 is 13813

3 57, 2181
19, 727

∴ So the LCM of the given numbers is 3 x 19 x 727 = 41439

Least Common Multiple of 57,2181 with GCF Formula

Least Common Multiple of 57,2181 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 57,2181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,2181) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(57,2181) x common factors =3 x 1 = 3

LCM(57,2181) = ( 57 × 2181 ) / 3

LCM(57,2181) = 124317 / 3

LCM(57,2181) = 41439


Lets's calculate GCF of 882,8367

3 882, 8367
294, 2789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41439/3

Therefore the LCM of Fractions 57/882,2181/8367 is 13813

Greatest Common Factor of 882,8367 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,8367 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 8367

List of positive integer factors of 8367 that divides 8367 without a remainder.

1,3,2789,8367

Greatest Common Factor

We found the factors 882,8367 . The biggest common factor number is the GCF number.
So the greatest common factor 882,8367 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 57/882, 2181/8367

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 57/882, 2181/8367?

Answer: LCM of Numerators as per given numbers 57/882, 2181/8367 is

LCM of Numerators i.e. for 57,2181 is 41439

GCF of denominators i.e. for 882,8367 is 3.

Thus, LCM of Fractions is 13813.Finally, LCM of Fractions for 57/882, 2181/8367 is 13813.