Least Common Multiple of 539/96, 975/57, 559/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/96, 975/57, 559/405 quickly i.e. 7532525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/96, 975/57, 559/405 is 7532525.

LCM(539/96, 975/57, 559/405) = 7532525

LCM of 539/96, 975/57, 559/405

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 539/96,975/57,559/405

Given numbers are 539/96,975/57,559/405

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 539,975,559

Least Common Multiple of Numerators i.e. LCM of 539,975,559 is 22597575.

GCF of Denominators means GCF of 96,57,405 as per the given fractions.

GCF of 96,57,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,975,559

LCM of Fractions 539/96,975/57,559/405 is 7532525

13 539, 975, 559
539, 75, 43

∴ So the LCM of the given numbers is 13 x 539 x 75 x 43 = 22597575

Least Common Multiple of 539,975,559 with GCF Formula

Least Common Multiple of 539,975,559 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 539,975,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,975,559) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(539,975,559) x common factors =1 x 13 = 13

LCM(539,975,559) = ( 539 × 975 × 559 ) / 13

LCM(539,975,559) = 293768475 / 13

LCM(539,975,559) = 22597575


Lets's calculate GCF of 96,57,405

3 96, 57, 405
32, 19, 135

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22597575/3

Therefore the LCM of Fractions 539/96,975/57,559/405 is 7532525

Greatest Common Factor of 96,57,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,57,405 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 96,57,405 . The biggest common factor number is the GCF number.
So the greatest common factor 96,57,405 is 3.


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 539/96, 975/57, 559/405

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 539/96, 975/57, 559/405?

Answer: LCM of Numerators as per given numbers 539/96, 975/57, 559/405 is

LCM of Numerators i.e. for 539,975,559 is 22597575

GCF of denominators i.e. for 96,57,405 is 3.

Thus, LCM of Fractions is 7532525.Finally, LCM of Fractions for 539/96, 975/57, 559/405 is 7532525.