Least Common Multiple of 576/12, 443/63, 923/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/12, 443/63, 923/228 quickly i.e. 78506688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/12, 443/63, 923/228 is 78506688.

LCM(576/12, 443/63, 923/228) = 78506688

LCM of 576/12, 443/63, 923/228

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 576/12,443/63,923/228

Given numbers are 576/12,443/63,923/228

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 576,443,923

Least Common Multiple of Numerators i.e. LCM of 576,443,923 is 235520064.

GCF of Denominators means GCF of 12,63,228 as per the given fractions.

GCF of 12,63,228 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,443,923

LCM of Fractions 576/12,443/63,923/228 is 78506688

Given numbers has no common factors except 1. So, there LCM is their product i.e 235520064

Least Common Multiple of 576,443,923 with GCF Formula

Least Common Multiple of 576,443,923 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 576,443,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,443,923) = 1

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

GCF(576,443,923) x common factors =1 x 1 = 1

LCM(576,443,923) = ( 576 × 443 × 923 ) / 1

LCM(576,443,923) = 235520064 / 1

LCM(576,443,923) = 235520064


Lets's calculate GCF of 12,63,228

3 12, 63, 228
4, 21, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235520064/3

Therefore the LCM of Fractions 576/12,443/63,923/228 is 78506688

Greatest Common Factor of 12,63,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,63,228 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 12,63,228 . The biggest common factor number is the GCF number.
So the greatest common factor 12,63,228 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 576/12, 443/63, 923/228

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 576/12, 443/63, 923/228?

Answer: LCM of Numerators as per given numbers 576/12, 443/63, 923/228 is

LCM of Numerators i.e. for 576,443,923 is 235520064

GCF of denominators i.e. for 12,63,228 is 3.

Thus, LCM of Fractions is 78506688.Finally, LCM of Fractions for 576/12, 443/63, 923/228 is 78506688.