Least Common Multiple of 530/466, 591/588, 494/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/466, 591/588, 494/861 quickly i.e. 77367810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/466, 591/588, 494/861 is 77367810.

LCM(530/466, 591/588, 494/861) = 77367810

LCM of 530/466, 591/588, 494/861

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 530/466,591/588,494/861

Given numbers are 530/466,591/588,494/861

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 530,591,494

Least Common Multiple of Numerators i.e. LCM of 530,591,494 is 77367810.

GCF of Denominators means GCF of 466,588,861 as per the given fractions.

GCF of 466,588,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,591,494

LCM of Fractions 530/466,591/588,494/861 is 77367810

2 530, 591, 494
265, 591, 247

∴ So the LCM of the given numbers is 2 x 265 x 591 x 247 = 77367810

Least Common Multiple of 530,591,494 with GCF Formula

Least Common Multiple of 530,591,494 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 530,591,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,591,494) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(530,591,494) x common factors =1 x 2 = 2

LCM(530,591,494) = ( 530 × 591 × 494 ) / 2

LCM(530,591,494) = 154735620 / 2

LCM(530,591,494) = 77367810


Lets's calculate GCF of 466,588,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77367810/1

Therefore the LCM of Fractions 530/466,591/588,494/861 is 77367810

Greatest Common Factor of 466,588,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,588,861 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 466,588,861 . The biggest common factor number is the GCF number.
So the greatest common factor 466,588,861 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 530/466, 591/588, 494/861

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 530/466, 591/588, 494/861?

Answer: LCM of Numerators as per given numbers 530/466, 591/588, 494/861 is

LCM of Numerators i.e. for 530,591,494 is 77367810

GCF of denominators i.e. for 466,588,861 is 1.

Thus, LCM of Fractions is 77367810.Finally, LCM of Fractions for 530/466, 591/588, 494/861 is 77367810.