Least Common Multiple of 9321/618, 8316/1849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9321/618, 8316/1849 quickly i.e. 25837812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9321/618, 8316/1849 is 25837812.

LCM(9321/618, 8316/1849) = 25837812

LCM of 9321/618, 8316/1849

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 9321/618,8316/1849

Given numbers are 9321/618,8316/1849

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 9321,8316

Least Common Multiple of Numerators i.e. LCM of 9321,8316 is 25837812.

GCF of Denominators means GCF of 618,1849 as per the given fractions.

GCF of 618,1849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9321,8316

LCM of Fractions 9321/618,8316/1849 is 25837812

3 9321, 8316
3107, 2772

∴ So the LCM of the given numbers is 3 x 3107 x 2772 = 25837812

Least Common Multiple of 9321,8316 with GCF Formula

Least Common Multiple of 9321,8316 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 9321,8316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9321,8316) = 3

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

GCF(9321,8316) x common factors =3 x 1 = 3

LCM(9321,8316) = ( 9321 × 8316 ) / 3

LCM(9321,8316) = 77513436 / 3

LCM(9321,8316) = 25837812


Lets's calculate GCF of 618,1849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25837812/1

Therefore the LCM of Fractions 9321/618,8316/1849 is 25837812

Greatest Common Factor of 618,1849 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,1849 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 1849

List of positive integer factors of 1849 that divides 1849 without a remainder.

1,43,1849

Greatest Common Factor

We found the factors 618,1849 . The biggest common factor number is the GCF number.
So the greatest common factor 618,1849 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 9321/618, 8316/1849

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 9321/618, 8316/1849?

Answer: LCM of Numerators as per given numbers 9321/618, 8316/1849 is

LCM of Numerators i.e. for 9321,8316 is 25837812

GCF of denominators i.e. for 618,1849 is 1.

Thus, LCM of Fractions is 25837812.Finally, LCM of Fractions for 9321/618, 8316/1849 is 25837812.