Least Common Multiple of 281/99, 334/48, 217/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 281/99, 334/48, 217/866 quickly i.e. 20366318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 281/99, 334/48, 217/866 is 20366318.

LCM(281/99, 334/48, 217/866) = 20366318

LCM of 281/99, 334/48, 217/866

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 281/99,334/48,217/866

Given numbers are 281/99,334/48,217/866

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 281,334,217

Least Common Multiple of Numerators i.e. LCM of 281,334,217 is 20366318.

GCF of Denominators means GCF of 99,48,866 as per the given fractions.

GCF of 99,48,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 281,334,217

LCM of Fractions 281/99,334/48,217/866 is 20366318

Given numbers has no common factors except 1. So, there LCM is their product i.e 20366318

Least Common Multiple of 281,334,217 with GCF Formula

Least Common Multiple of 281,334,217 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 281,334,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,334,217) = 1

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

GCF(281,334,217) x common factors =1 x 1 = 1

LCM(281,334,217) = ( 281 × 334 × 217 ) / 1

LCM(281,334,217) = 20366318 / 1

LCM(281,334,217) = 20366318


Lets's calculate GCF of 99,48,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20366318/1

Therefore the LCM of Fractions 281/99,334/48,217/866 is 20366318

Greatest Common Factor of 99,48,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,48,866 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 99,48,866 . The biggest common factor number is the GCF number.
So the greatest common factor 99,48,866 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 281/99, 334/48, 217/866

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 281/99, 334/48, 217/866?

Answer: LCM of Numerators as per given numbers 281/99, 334/48, 217/866 is

LCM of Numerators i.e. for 281,334,217 is 20366318

GCF of denominators i.e. for 99,48,866 is 1.

Thus, LCM of Fractions is 20366318.Finally, LCM of Fractions for 281/99, 334/48, 217/866 is 20366318.