Least Common Multiple of 9583/33, 8484/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9583/33, 8484/367 quickly i.e. 11614596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9583/33, 8484/367 is 11614596.

LCM(9583/33, 8484/367) = 11614596

LCM of 9583/33, 8484/367

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 9583/33,8484/367

Given numbers are 9583/33,8484/367

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 9583,8484

Least Common Multiple of Numerators i.e. LCM of 9583,8484 is 11614596.

GCF of Denominators means GCF of 33,367 as per the given fractions.

GCF of 33,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9583,8484

LCM of Fractions 9583/33,8484/367 is 11614596

7 9583, 8484
1369, 1212

∴ So the LCM of the given numbers is 7 x 1369 x 1212 = 11614596

Least Common Multiple of 9583,8484 with GCF Formula

Least Common Multiple of 9583,8484 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 9583,8484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9583,8484) = 7

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

GCF(9583,8484) x common factors =7 x 1 = 7

LCM(9583,8484) = ( 9583 × 8484 ) / 7

LCM(9583,8484) = 81302172 / 7

LCM(9583,8484) = 11614596


Lets's calculate GCF of 33,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11614596/1

Therefore the LCM of Fractions 9583/33,8484/367 is 11614596

Greatest Common Factor of 33,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,367 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 33,367 . The biggest common factor number is the GCF number.
So the greatest common factor 33,367 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 9583/33, 8484/367

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 9583/33, 8484/367?

Answer: LCM of Numerators as per given numbers 9583/33, 8484/367 is

LCM of Numerators i.e. for 9583,8484 is 11614596

GCF of denominators i.e. for 33,367 is 1.

Thus, LCM of Fractions is 11614596.Finally, LCM of Fractions for 9583/33, 8484/367 is 11614596.