Least Common Multiple of 221/794, 481/642, 243/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/794, 481/642, 243/577 quickly i.e. 1987011 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/794, 481/642, 243/577 is 1987011.

LCM(221/794, 481/642, 243/577) = 1987011

LCM of 221/794, 481/642, 243/577

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 221/794,481/642,243/577

Given numbers are 221/794,481/642,243/577

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 221,481,243

Least Common Multiple of Numerators i.e. LCM of 221,481,243 is 1987011.

GCF of Denominators means GCF of 794,642,577 as per the given fractions.

GCF of 794,642,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,481,243

LCM of Fractions 221/794,481/642,243/577 is 1987011

13 221, 481, 243
17, 37, 243

∴ So the LCM of the given numbers is 13 x 17 x 37 x 243 = 1987011

Least Common Multiple of 221,481,243 with GCF Formula

Least Common Multiple of 221,481,243 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 221,481,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,481,243) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(221,481,243) x common factors =1 x 13 = 13

LCM(221,481,243) = ( 221 × 481 × 243 ) / 13

LCM(221,481,243) = 25831143 / 13

LCM(221,481,243) = 1987011


Lets's calculate GCF of 794,642,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1987011/1

Therefore the LCM of Fractions 221/794,481/642,243/577 is 1987011

Greatest Common Factor of 794,642,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,642,577 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 794,642,577 . The biggest common factor number is the GCF number.
So the greatest common factor 794,642,577 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 221/794, 481/642, 243/577

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 221/794, 481/642, 243/577?

Answer: LCM of Numerators as per given numbers 221/794, 481/642, 243/577 is

LCM of Numerators i.e. for 221,481,243 is 1987011

GCF of denominators i.e. for 794,642,577 is 1.

Thus, LCM of Fractions is 1987011.Finally, LCM of Fractions for 221/794, 481/642, 243/577 is 1987011.