Least Common Multiple of 821/259, 940/365, 727/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/259, 940/365, 727/295 quickly i.e. 561054980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/259, 940/365, 727/295 is 561054980.

LCM(821/259, 940/365, 727/295) = 561054980

LCM of 821/259, 940/365, 727/295

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 821/259,940/365,727/295

Given numbers are 821/259,940/365,727/295

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 821,940,727

Least Common Multiple of Numerators i.e. LCM of 821,940,727 is 561054980.

GCF of Denominators means GCF of 259,365,295 as per the given fractions.

GCF of 259,365,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,940,727

LCM of Fractions 821/259,940/365,727/295 is 561054980

Given numbers has no common factors except 1. So, there LCM is their product i.e 561054980

Least Common Multiple of 821,940,727 with GCF Formula

Least Common Multiple of 821,940,727 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 821,940,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,940,727) = 1

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

GCF(821,940,727) x common factors =1 x 1 = 1

LCM(821,940,727) = ( 821 × 940 × 727 ) / 1

LCM(821,940,727) = 561054980 / 1

LCM(821,940,727) = 561054980


Lets's calculate GCF of 259,365,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561054980/1

Therefore the LCM of Fractions 821/259,940/365,727/295 is 561054980

Greatest Common Factor of 259,365,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,365,295 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 259,365,295 . The biggest common factor number is the GCF number.
So the greatest common factor 259,365,295 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 821/259, 940/365, 727/295

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 821/259, 940/365, 727/295?

Answer: LCM of Numerators as per given numbers 821/259, 940/365, 727/295 is

LCM of Numerators i.e. for 821,940,727 is 561054980

GCF of denominators i.e. for 259,365,295 is 1.

Thus, LCM of Fractions is 561054980.Finally, LCM of Fractions for 821/259, 940/365, 727/295 is 561054980.