Least Common Multiple of 6/576, 47/861, 12/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/576, 47/861, 12/645 quickly i.e. 188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/576, 47/861, 12/645 is 188.

LCM(6/576, 47/861, 12/645) = 188

LCM of 6/576, 47/861, 12/645

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 6/576,47/861,12/645

Given numbers are 6/576,47/861,12/645

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 6,47,12

Least Common Multiple of Numerators i.e. LCM of 6,47,12 is 564.

GCF of Denominators means GCF of 576,861,645 as per the given fractions.

GCF of 576,861,645 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,47,12

LCM of Fractions 6/576,47/861,12/645 is 188

2 6, 47, 12
3 3, 47, 6
1, 47, 2

∴ So the LCM of the given numbers is 2 x 3 x 1 x 47 x 2 = 564

Least Common Multiple of 6,47,12 with GCF Formula

Least Common Multiple of 6,47,12 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 6,47,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,47,12) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(6,47,12) x common factors =1 x 6 = 6

LCM(6,47,12) = ( 6 × 47 × 12 ) / 6

LCM(6,47,12) = 3384 / 6

LCM(6,47,12) = 564


Lets's calculate GCF of 576,861,645

3 576, 861, 645
192, 287, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564/3

Therefore the LCM of Fractions 6/576,47/861,12/645 is 188

Greatest Common Factor of 576,861,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,861,645 By Matching Biggest Common Factor Method

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

Factors of 861

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

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

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 576,861,645 . The biggest common factor number is the GCF number.
So the greatest common factor 576,861,645 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 6/576, 47/861, 12/645

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 6/576, 47/861, 12/645?

Answer: LCM of Numerators as per given numbers 6/576, 47/861, 12/645 is

LCM of Numerators i.e. for 6,47,12 is 564

GCF of denominators i.e. for 576,861,645 is 3.

Thus, LCM of Fractions is 188.Finally, LCM of Fractions for 6/576, 47/861, 12/645 is 188.