Least Common Multiple of 244/591, 305/774, 866/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 244/591, 305/774, 866/367 quickly i.e. 528260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 244/591, 305/774, 866/367 is 528260.

LCM(244/591, 305/774, 866/367) = 528260

LCM of 244/591, 305/774, 866/367

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 244/591,305/774,866/367

Given numbers are 244/591,305/774,866/367

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 244,305,866

Least Common Multiple of Numerators i.e. LCM of 244,305,866 is 528260.

GCF of Denominators means GCF of 591,774,367 as per the given fractions.

GCF of 591,774,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 244,305,866

LCM of Fractions 244/591,305/774,866/367 is 528260

2 244, 305, 866
61 122, 305, 433
2, 5, 433

∴ So the LCM of the given numbers is 2 x 61 x 2 x 5 x 433 = 528260

Least Common Multiple of 244,305,866 with GCF Formula

Least Common Multiple of 244,305,866 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 244,305,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,305,866) = 1

common factors(in case of two or more numbers have common factors) = 122

GCF(244,305,866) x common factors =1 x 122 = 122

LCM(244,305,866) = ( 244 × 305 × 866 ) / 122

LCM(244,305,866) = 64447720 / 122

LCM(244,305,866) = 528260


Lets's calculate GCF of 591,774,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528260/1

Therefore the LCM of Fractions 244/591,305/774,866/367 is 528260

Greatest Common Factor of 591,774,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,774,367 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 591,774,367 . The biggest common factor number is the GCF number.
So the greatest common factor 591,774,367 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 244/591, 305/774, 866/367

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 244/591, 305/774, 866/367?

Answer: LCM of Numerators as per given numbers 244/591, 305/774, 866/367 is

LCM of Numerators i.e. for 244,305,866 is 528260

GCF of denominators i.e. for 591,774,367 is 1.

Thus, LCM of Fractions is 528260.Finally, LCM of Fractions for 244/591, 305/774, 866/367 is 528260.