Least Common Multiple of 609/24, 849/9391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/24, 849/9391 quickly i.e. 172347 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/24, 849/9391 is 172347.

LCM(609/24, 849/9391) = 172347

LCM of 609/24, 849/9391

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 609/24,849/9391

Given numbers are 609/24,849/9391

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 609,849

Least Common Multiple of Numerators i.e. LCM of 609,849 is 172347.

GCF of Denominators means GCF of 24,9391 as per the given fractions.

GCF of 24,9391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,849

LCM of Fractions 609/24,849/9391 is 172347

3 609, 849
203, 283

∴ So the LCM of the given numbers is 3 x 203 x 283 = 172347

Least Common Multiple of 609,849 with GCF Formula

Least Common Multiple of 609,849 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 609,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,849) = 3

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

GCF(609,849) x common factors =3 x 1 = 3

LCM(609,849) = ( 609 × 849 ) / 3

LCM(609,849) = 517041 / 3

LCM(609,849) = 172347


Lets's calculate GCF of 24,9391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172347/1

Therefore the LCM of Fractions 609/24,849/9391 is 172347

Greatest Common Factor of 24,9391 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,9391 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 9391

List of positive integer factors of 9391 that divides 9391 without a remainder.

1,9391

Greatest Common Factor

We found the factors 24,9391 . The biggest common factor number is the GCF number.
So the greatest common factor 24,9391 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 609/24, 849/9391

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 609/24, 849/9391?

Answer: LCM of Numerators as per given numbers 609/24, 849/9391 is

LCM of Numerators i.e. for 609,849 is 172347

GCF of denominators i.e. for 24,9391 is 1.

Thus, LCM of Fractions is 172347.Finally, LCM of Fractions for 609/24, 849/9391 is 172347.