Least Common Multiple of 9408/380, 9843/8591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9408/380, 9843/8591 quickly i.e. 30867648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9408/380, 9843/8591 is 30867648.

LCM(9408/380, 9843/8591) = 30867648

LCM of 9408/380, 9843/8591

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 9408/380,9843/8591

Given numbers are 9408/380,9843/8591

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 9408,9843

Least Common Multiple of Numerators i.e. LCM of 9408,9843 is 30867648.

GCF of Denominators means GCF of 380,8591 as per the given fractions.

GCF of 380,8591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9408,9843

LCM of Fractions 9408/380,9843/8591 is 30867648

3 9408, 9843
3136, 3281

∴ So the LCM of the given numbers is 3 x 3136 x 3281 = 30867648

Least Common Multiple of 9408,9843 with GCF Formula

Least Common Multiple of 9408,9843 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 9408,9843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9408,9843) = 3

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

GCF(9408,9843) x common factors =3 x 1 = 3

LCM(9408,9843) = ( 9408 × 9843 ) / 3

LCM(9408,9843) = 92602944 / 3

LCM(9408,9843) = 30867648


Lets's calculate GCF of 380,8591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30867648/1

Therefore the LCM of Fractions 9408/380,9843/8591 is 30867648

Greatest Common Factor of 380,8591 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,8591 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 8591

List of positive integer factors of 8591 that divides 8591 without a remainder.

1,11,71,121,781,8591

Greatest Common Factor

We found the factors 380,8591 . The biggest common factor number is the GCF number.
So the greatest common factor 380,8591 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 9408/380, 9843/8591

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 9408/380, 9843/8591?

Answer: LCM of Numerators as per given numbers 9408/380, 9843/8591 is

LCM of Numerators i.e. for 9408,9843 is 30867648

GCF of denominators i.e. for 380,8591 is 1.

Thus, LCM of Fractions is 30867648.Finally, LCM of Fractions for 9408/380, 9843/8591 is 30867648.