Least Common Multiple of 6303/390, 1141/8469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6303/390, 1141/8469 quickly i.e. 2397241 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6303/390, 1141/8469 is 2397241.

LCM(6303/390, 1141/8469) = 2397241

LCM of 6303/390, 1141/8469

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 6303/390,1141/8469

Given numbers are 6303/390,1141/8469

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 6303,1141

Least Common Multiple of Numerators i.e. LCM of 6303,1141 is 7191723.

GCF of Denominators means GCF of 390,8469 as per the given fractions.

GCF of 390,8469 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6303,1141

LCM of Fractions 6303/390,1141/8469 is 2397241

Given numbers has no common factors except 1. So, there LCM is their product i.e 7191723

Least Common Multiple of 6303,1141 with GCF Formula

Least Common Multiple of 6303,1141 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 6303,1141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6303,1141) = 1

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

GCF(6303,1141) x common factors =1 x 1 = 1

LCM(6303,1141) = ( 6303 × 1141 ) / 1

LCM(6303,1141) = 7191723 / 1

LCM(6303,1141) = 7191723


Lets's calculate GCF of 390,8469

3 390, 8469
130, 2823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7191723/3

Therefore the LCM of Fractions 6303/390,1141/8469 is 2397241

Greatest Common Factor of 390,8469 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,8469 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 8469

List of positive integer factors of 8469 that divides 8469 without a remainder.

1,3,9,941,2823,8469

Greatest Common Factor

We found the factors 390,8469 . The biggest common factor number is the GCF number.
So the greatest common factor 390,8469 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 6303/390, 1141/8469

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 6303/390, 1141/8469?

Answer: LCM of Numerators as per given numbers 6303/390, 1141/8469 is

LCM of Numerators i.e. for 6303,1141 is 7191723

GCF of denominators i.e. for 390,8469 is 3.

Thus, LCM of Fractions is 2397241.Finally, LCM of Fractions for 6303/390, 1141/8469 is 2397241.