Least Common Multiple of 57/809, 522/509, 857/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/809, 522/509, 857/241 quickly i.e. 8499726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/809, 522/509, 857/241 is 8499726.

LCM(57/809, 522/509, 857/241) = 8499726

LCM of 57/809, 522/509, 857/241

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 57/809,522/509,857/241

Given numbers are 57/809,522/509,857/241

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 57,522,857

Least Common Multiple of Numerators i.e. LCM of 57,522,857 is 8499726.

GCF of Denominators means GCF of 809,509,241 as per the given fractions.

GCF of 809,509,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,522,857

LCM of Fractions 57/809,522/509,857/241 is 8499726

3 57, 522, 857
19, 174, 857

∴ So the LCM of the given numbers is 3 x 19 x 174 x 857 = 8499726

Least Common Multiple of 57,522,857 with GCF Formula

Least Common Multiple of 57,522,857 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 57,522,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,522,857) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,522,857) x common factors =1 x 3 = 3

LCM(57,522,857) = ( 57 × 522 × 857 ) / 3

LCM(57,522,857) = 25499178 / 3

LCM(57,522,857) = 8499726


Lets's calculate GCF of 809,509,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8499726/1

Therefore the LCM of Fractions 57/809,522/509,857/241 is 8499726

Greatest Common Factor of 809,509,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,509,241 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 809,509,241 . The biggest common factor number is the GCF number.
So the greatest common factor 809,509,241 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 57/809, 522/509, 857/241

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 57/809, 522/509, 857/241?

Answer: LCM of Numerators as per given numbers 57/809, 522/509, 857/241 is

LCM of Numerators i.e. for 57,522,857 is 8499726

GCF of denominators i.e. for 809,509,241 is 1.

Thus, LCM of Fractions is 8499726.Finally, LCM of Fractions for 57/809, 522/509, 857/241 is 8499726.