Least Common Multiple of 479/23, 219/41, 532/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 479/23, 219/41, 532/540 quickly i.e. 55807332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 479/23, 219/41, 532/540 is 55807332.

LCM(479/23, 219/41, 532/540) = 55807332

LCM of 479/23, 219/41, 532/540

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 479/23,219/41,532/540

Given numbers are 479/23,219/41,532/540

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 479,219,532

Least Common Multiple of Numerators i.e. LCM of 479,219,532 is 55807332.

GCF of Denominators means GCF of 23,41,540 as per the given fractions.

GCF of 23,41,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 479,219,532

LCM of Fractions 479/23,219/41,532/540 is 55807332

Given numbers has no common factors except 1. So, there LCM is their product i.e 55807332

Least Common Multiple of 479,219,532 with GCF Formula

Least Common Multiple of 479,219,532 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 479,219,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,219,532) = 1

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

GCF(479,219,532) x common factors =1 x 1 = 1

LCM(479,219,532) = ( 479 × 219 × 532 ) / 1

LCM(479,219,532) = 55807332 / 1

LCM(479,219,532) = 55807332


Lets's calculate GCF of 23,41,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55807332/1

Therefore the LCM of Fractions 479/23,219/41,532/540 is 55807332

Greatest Common Factor of 23,41,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,41,540 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

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

Greatest Common Factor

We found the factors 23,41,540 . The biggest common factor number is the GCF number.
So the greatest common factor 23,41,540 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 479/23, 219/41, 532/540

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 479/23, 219/41, 532/540?

Answer: LCM of Numerators as per given numbers 479/23, 219/41, 532/540 is

LCM of Numerators i.e. for 479,219,532 is 55807332

GCF of denominators i.e. for 23,41,540 is 1.

Thus, LCM of Fractions is 55807332.Finally, LCM of Fractions for 479/23, 219/41, 532/540 is 55807332.