Least Common Multiple of 209/981, 5181/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 209/981, 5181/891 quickly i.e. 98439/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 209/981, 5181/891 is 98439/9.

LCM(209/981, 5181/891) = 98439/9

LCM of 209/981, 5181/891

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 209/981,5181/891

Given numbers are 209/981,5181/891

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 209,5181

Least Common Multiple of Numerators i.e. LCM of 209,5181 is 98439.

GCF of Denominators means GCF of 981,891 as per the given fractions.

GCF of 981,891 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 209,5181

LCM of Fractions 209/981,5181/891 is 98439/9

11 209, 5181
19, 471

∴ So the LCM of the given numbers is 11 x 19 x 471 = 98439

Least Common Multiple of 209,5181 with GCF Formula

Least Common Multiple of 209,5181 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 209,5181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,5181) = 11

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

GCF(209,5181) x common factors =11 x 1 = 11

LCM(209,5181) = ( 209 × 5181 ) / 11

LCM(209,5181) = 1082829 / 11

LCM(209,5181) = 98439


Lets's calculate GCF of 981,891

3 981, 891
3 327, 297
109, 99

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98439/9

Therefore the LCM of Fractions 209/981,5181/891 is 98439/9

Greatest Common Factor of 981,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 981,891 By Matching Biggest Common Factor Method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 981,891 . The biggest common factor number is the GCF number.
So the greatest common factor 981,891 is 9.


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 209/981, 5181/891

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 209/981, 5181/891?

Answer: LCM of Numerators as per given numbers 209/981, 5181/891 is

LCM of Numerators i.e. for 209,5181 is 98439

GCF of denominators i.e. for 981,891 is 9.

Thus, LCM of Fractions is 98439/9.Finally, LCM of Fractions for 209/981, 5181/891 is 98439/9.