Least Common Multiple of 439/540, 583/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 439/540, 583/216 quickly i.e. 255937/108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 439/540, 583/216 is 255937/108.

LCM(439/540, 583/216) = 255937/108

LCM of 439/540, 583/216

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 439/540,583/216

Given numbers are 439/540,583/216

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 439,583

Least Common Multiple of Numerators i.e. LCM of 439,583 is 255937.

GCF of Denominators means GCF of 540,216 as per the given fractions.

GCF of 540,216 is 108 as it is the largest common factor for these numbers.

Lets's calculate LCM of 439,583

LCM of Fractions 439/540,583/216 is 255937/108

Given numbers has no common factors except 1. So, there LCM is their product i.e 255937

Least Common Multiple of 439,583 with GCF Formula

Least Common Multiple of 439,583 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 439,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,583) = 1

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

GCF(439,583) x common factors =1 x 1 = 1

LCM(439,583) = ( 439 × 583 ) / 1

LCM(439,583) = 255937 / 1

LCM(439,583) = 255937


Lets's calculate GCF of 540,216

2 540, 216
2 270, 108
3 135, 54
3 45, 18
3 15, 6
5, 2

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255937/108

Therefore the LCM of Fractions 439/540,583/216 is 255937/108

Greatest Common Factor of 540,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,216 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 540,216 . The biggest common factor number is the GCF number.
So the greatest common factor 540,216 is 108.


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 439/540, 583/216

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 439/540, 583/216?

Answer: LCM of Numerators as per given numbers 439/540, 583/216 is

LCM of Numerators i.e. for 439,583 is 255937

GCF of denominators i.e. for 540,216 is 108.

Thus, LCM of Fractions is 255937/108.Finally, LCM of Fractions for 439/540, 583/216 is 255937/108.