Least Common Multiple of 542/479, 854/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/479, 854/576 quickly i.e. 231434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/479, 854/576 is 231434.

LCM(542/479, 854/576) = 231434

LCM of 542/479, 854/576

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 542/479,854/576

Given numbers are 542/479,854/576

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 542,854

Least Common Multiple of Numerators i.e. LCM of 542,854 is 231434.

GCF of Denominators means GCF of 479,576 as per the given fractions.

GCF of 479,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,854

LCM of Fractions 542/479,854/576 is 231434

2 542, 854
271, 427

∴ So the LCM of the given numbers is 2 x 271 x 427 = 231434

Least Common Multiple of 542,854 with GCF Formula

Least Common Multiple of 542,854 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 542,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,854) = 2

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

GCF(542,854) x common factors =2 x 1 = 2

LCM(542,854) = ( 542 × 854 ) / 2

LCM(542,854) = 462868 / 2

LCM(542,854) = 231434


Lets's calculate GCF of 479,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231434/1

Therefore the LCM of Fractions 542/479,854/576 is 231434

Greatest Common Factor of 479,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,576 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

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

Greatest Common Factor

We found the factors 479,576 . The biggest common factor number is the GCF number.
So the greatest common factor 479,576 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 542/479, 854/576

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 542/479, 854/576?

Answer: LCM of Numerators as per given numbers 542/479, 854/576 is

LCM of Numerators i.e. for 542,854 is 231434

GCF of denominators i.e. for 479,576 is 1.

Thus, LCM of Fractions is 231434.Finally, LCM of Fractions for 542/479, 854/576 is 231434.