Least Common Multiple of 681/311, 832/448, 866/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/311, 832/448, 866/657 quickly i.e. 245334336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/311, 832/448, 866/657 is 245334336.

LCM(681/311, 832/448, 866/657) = 245334336

LCM of 681/311, 832/448, 866/657

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 681/311,832/448,866/657

Given numbers are 681/311,832/448,866/657

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 681,832,866

Least Common Multiple of Numerators i.e. LCM of 681,832,866 is 245334336.

GCF of Denominators means GCF of 311,448,657 as per the given fractions.

GCF of 311,448,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,832,866

LCM of Fractions 681/311,832/448,866/657 is 245334336

2 681, 832, 866
681, 416, 433

∴ So the LCM of the given numbers is 2 x 681 x 416 x 433 = 245334336

Least Common Multiple of 681,832,866 with GCF Formula

Least Common Multiple of 681,832,866 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 681,832,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,832,866) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(681,832,866) x common factors =1 x 2 = 2

LCM(681,832,866) = ( 681 × 832 × 866 ) / 2

LCM(681,832,866) = 490668672 / 2

LCM(681,832,866) = 245334336


Lets's calculate GCF of 311,448,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245334336/1

Therefore the LCM of Fractions 681/311,832/448,866/657 is 245334336

Greatest Common Factor of 311,448,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,448,657 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 311,448,657 . The biggest common factor number is the GCF number.
So the greatest common factor 311,448,657 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 681/311, 832/448, 866/657

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 681/311, 832/448, 866/657?

Answer: LCM of Numerators as per given numbers 681/311, 832/448, 866/657 is

LCM of Numerators i.e. for 681,832,866 is 245334336

GCF of denominators i.e. for 311,448,657 is 1.

Thus, LCM of Fractions is 245334336.Finally, LCM of Fractions for 681/311, 832/448, 866/657 is 245334336.