Least Common Multiple of 71/177, 260/835, 241/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/177, 260/835, 241/789 quickly i.e. 4448860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/177, 260/835, 241/789 is 4448860.

LCM(71/177, 260/835, 241/789) = 4448860

LCM of 71/177, 260/835, 241/789

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 71/177,260/835,241/789

Given numbers are 71/177,260/835,241/789

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 71,260,241

Least Common Multiple of Numerators i.e. LCM of 71,260,241 is 4448860.

GCF of Denominators means GCF of 177,835,789 as per the given fractions.

GCF of 177,835,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,260,241

LCM of Fractions 71/177,260/835,241/789 is 4448860

Given numbers has no common factors except 1. So, there LCM is their product i.e 4448860

Least Common Multiple of 71,260,241 with GCF Formula

Least Common Multiple of 71,260,241 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 71,260,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,260,241) = 1

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

GCF(71,260,241) x common factors =1 x 1 = 1

LCM(71,260,241) = ( 71 × 260 × 241 ) / 1

LCM(71,260,241) = 4448860 / 1

LCM(71,260,241) = 4448860


Lets's calculate GCF of 177,835,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4448860/1

Therefore the LCM of Fractions 71/177,260/835,241/789 is 4448860

Greatest Common Factor of 177,835,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,835,789 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 177,835,789 . The biggest common factor number is the GCF number.
So the greatest common factor 177,835,789 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 71/177, 260/835, 241/789

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 71/177, 260/835, 241/789?

Answer: LCM of Numerators as per given numbers 71/177, 260/835, 241/789 is

LCM of Numerators i.e. for 71,260,241 is 4448860

GCF of denominators i.e. for 177,835,789 is 1.

Thus, LCM of Fractions is 4448860.Finally, LCM of Fractions for 71/177, 260/835, 241/789 is 4448860.