Least Common Multiple of 5760/439, 5309/8660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5760/439, 5309/8660 quickly i.e. 30579840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5760/439, 5309/8660 is 30579840.

LCM(5760/439, 5309/8660) = 30579840

LCM of 5760/439, 5309/8660

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 5760/439,5309/8660

Given numbers are 5760/439,5309/8660

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 5760,5309

Least Common Multiple of Numerators i.e. LCM of 5760,5309 is 30579840.

GCF of Denominators means GCF of 439,8660 as per the given fractions.

GCF of 439,8660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5760,5309

LCM of Fractions 5760/439,5309/8660 is 30579840

Given numbers has no common factors except 1. So, there LCM is their product i.e 30579840

Least Common Multiple of 5760,5309 with GCF Formula

Least Common Multiple of 5760,5309 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 5760,5309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5760,5309) = 1

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

GCF(5760,5309) x common factors =1 x 1 = 1

LCM(5760,5309) = ( 5760 × 5309 ) / 1

LCM(5760,5309) = 30579840 / 1

LCM(5760,5309) = 30579840


Lets's calculate GCF of 439,8660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30579840/1

Therefore the LCM of Fractions 5760/439,5309/8660 is 30579840

Greatest Common Factor of 439,8660 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,8660 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 8660

List of positive integer factors of 8660 that divides 8660 without a remainder.

1,2,4,5,10,20,433,866,1732,2165,4330,8660

Greatest Common Factor

We found the factors 439,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 439,8660 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 5760/439, 5309/8660

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 5760/439, 5309/8660?

Answer: LCM of Numerators as per given numbers 5760/439, 5309/8660 is

LCM of Numerators i.e. for 5760,5309 is 30579840

GCF of denominators i.e. for 439,8660 is 1.

Thus, LCM of Fractions is 30579840.Finally, LCM of Fractions for 5760/439, 5309/8660 is 30579840.