Least Common Multiple of 241/905, 791/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 241/905, 791/838 quickly i.e. 190631 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/905, 791/838 is 190631.

LCM(241/905, 791/838) = 190631

LCM of 241/905, 791/838

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 241/905,791/838

Given numbers are 241/905,791/838

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 241,791

Least Common Multiple of Numerators i.e. LCM of 241,791 is 190631.

GCF of Denominators means GCF of 905,838 as per the given fractions.

GCF of 905,838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,791

LCM of Fractions 241/905,791/838 is 190631

Given numbers has no common factors except 1. So, there LCM is their product i.e 190631

Least Common Multiple of 241,791 with GCF Formula

Least Common Multiple of 241,791 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 241,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,791) = 1

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

GCF(241,791) x common factors =1 x 1 = 1

LCM(241,791) = ( 241 × 791 ) / 1

LCM(241,791) = 190631 / 1

LCM(241,791) = 190631


Lets's calculate GCF of 905,838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190631/1

Therefore the LCM of Fractions 241/905,791/838 is 190631

Greatest Common Factor of 905,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,838 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 905,838 . The biggest common factor number is the GCF number.
So the greatest common factor 905,838 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 241/905, 791/838

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 241/905, 791/838?

Answer: LCM of Numerators as per given numbers 241/905, 791/838 is

LCM of Numerators i.e. for 241,791 is 190631

GCF of denominators i.e. for 905,838 is 1.

Thus, LCM of Fractions is 190631.Finally, LCM of Fractions for 241/905, 791/838 is 190631.