Least Common Multiple of 711/54, 873/57, 427/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/54, 873/57, 427/207 quickly i.e. 9816303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/54, 873/57, 427/207 is 9816303.

LCM(711/54, 873/57, 427/207) = 9816303

LCM of 711/54, 873/57, 427/207

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 711/54,873/57,427/207

Given numbers are 711/54,873/57,427/207

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 711,873,427

Least Common Multiple of Numerators i.e. LCM of 711,873,427 is 29448909.

GCF of Denominators means GCF of 54,57,207 as per the given fractions.

GCF of 54,57,207 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,873,427

LCM of Fractions 711/54,873/57,427/207 is 9816303

3 711, 873, 427
3 237, 291, 427
79, 97, 427

∴ So the LCM of the given numbers is 3 x 3 x 79 x 97 x 427 = 29448909

Least Common Multiple of 711,873,427 with GCF Formula

Least Common Multiple of 711,873,427 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 711,873,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,873,427) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(711,873,427) x common factors =1 x 9 = 9

LCM(711,873,427) = ( 711 × 873 × 427 ) / 9

LCM(711,873,427) = 265040181 / 9

LCM(711,873,427) = 29448909


Lets's calculate GCF of 54,57,207

3 54, 57, 207
18, 19, 69

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29448909/3

Therefore the LCM of Fractions 711/54,873/57,427/207 is 9816303

Greatest Common Factor of 54,57,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,57,207 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 54,57,207 . The biggest common factor number is the GCF number.
So the greatest common factor 54,57,207 is 3.


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 711/54, 873/57, 427/207

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 711/54, 873/57, 427/207?

Answer: LCM of Numerators as per given numbers 711/54, 873/57, 427/207 is

LCM of Numerators i.e. for 711,873,427 is 29448909

GCF of denominators i.e. for 54,57,207 is 3.

Thus, LCM of Fractions is 9816303.Finally, LCM of Fractions for 711/54, 873/57, 427/207 is 9816303.