Least Common Multiple of 5438/576, 8083/9685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5438/576, 8083/9685 quickly i.e. 43955354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5438/576, 8083/9685 is 43955354.

LCM(5438/576, 8083/9685) = 43955354

LCM of 5438/576, 8083/9685

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 5438/576,8083/9685

Given numbers are 5438/576,8083/9685

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 5438,8083

Least Common Multiple of Numerators i.e. LCM of 5438,8083 is 43955354.

GCF of Denominators means GCF of 576,9685 as per the given fractions.

GCF of 576,9685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5438,8083

LCM of Fractions 5438/576,8083/9685 is 43955354

Given numbers has no common factors except 1. So, there LCM is their product i.e 43955354

Least Common Multiple of 5438,8083 with GCF Formula

Least Common Multiple of 5438,8083 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 5438,8083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5438,8083) = 1

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

GCF(5438,8083) x common factors =1 x 1 = 1

LCM(5438,8083) = ( 5438 × 8083 ) / 1

LCM(5438,8083) = 43955354 / 1

LCM(5438,8083) = 43955354


Lets's calculate GCF of 576,9685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43955354/1

Therefore the LCM of Fractions 5438/576,8083/9685 is 43955354

Greatest Common Factor of 576,9685 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,9685 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1,5,13,65,149,745,1937,9685

Greatest Common Factor

We found the factors 576,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 576,9685 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 5438/576, 8083/9685

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 5438/576, 8083/9685?

Answer: LCM of Numerators as per given numbers 5438/576, 8083/9685 is

LCM of Numerators i.e. for 5438,8083 is 43955354

GCF of denominators i.e. for 576,9685 is 1.

Thus, LCM of Fractions is 43955354.Finally, LCM of Fractions for 5438/576, 8083/9685 is 43955354.