Least Common Multiple of 242/81, 849/3569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/81, 849/3569 quickly i.e. 205458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/81, 849/3569 is 205458.

LCM(242/81, 849/3569) = 205458

LCM of 242/81, 849/3569

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 242/81,849/3569

Given numbers are 242/81,849/3569

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 242,849

Least Common Multiple of Numerators i.e. LCM of 242,849 is 205458.

GCF of Denominators means GCF of 81,3569 as per the given fractions.

GCF of 81,3569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,849

LCM of Fractions 242/81,849/3569 is 205458

Given numbers has no common factors except 1. So, there LCM is their product i.e 205458

Least Common Multiple of 242,849 with GCF Formula

Least Common Multiple of 242,849 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 242,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,849) = 1

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

GCF(242,849) x common factors =1 x 1 = 1

LCM(242,849) = ( 242 × 849 ) / 1

LCM(242,849) = 205458 / 1

LCM(242,849) = 205458


Lets's calculate GCF of 81,3569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205458/1

Therefore the LCM of Fractions 242/81,849/3569 is 205458

Greatest Common Factor of 81,3569 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,3569 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 3569

List of positive integer factors of 3569 that divides 3569 without a remainder.

1,43,83,3569

Greatest Common Factor

We found the factors 81,3569 . The biggest common factor number is the GCF number.
So the greatest common factor 81,3569 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 242/81, 849/3569

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 242/81, 849/3569?

Answer: LCM of Numerators as per given numbers 242/81, 849/3569 is

LCM of Numerators i.e. for 242,849 is 205458

GCF of denominators i.e. for 81,3569 is 1.

Thus, LCM of Fractions is 205458.Finally, LCM of Fractions for 242/81, 849/3569 is 205458.