Least Common Multiple of 564/72, 227/4005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/72, 227/4005 quickly i.e. 128028/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/72, 227/4005 is 128028/9.

LCM(564/72, 227/4005) = 128028/9

LCM of 564/72, 227/4005

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 564/72,227/4005

Given numbers are 564/72,227/4005

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 564,227

Least Common Multiple of Numerators i.e. LCM of 564,227 is 128028.

GCF of Denominators means GCF of 72,4005 as per the given fractions.

GCF of 72,4005 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,227

LCM of Fractions 564/72,227/4005 is 128028/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 128028

Least Common Multiple of 564,227 with GCF Formula

Least Common Multiple of 564,227 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 564,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,227) = 1

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

GCF(564,227) x common factors =1 x 1 = 1

LCM(564,227) = ( 564 × 227 ) / 1

LCM(564,227) = 128028 / 1

LCM(564,227) = 128028


Lets's calculate GCF of 72,4005

3 72, 4005
3 24, 1335
8, 445

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128028/9

Therefore the LCM of Fractions 564/72,227/4005 is 128028/9

Greatest Common Factor of 72,4005 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,4005 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 4005

List of positive integer factors of 4005 that divides 4005 without a remainder.

1,3,5,9,15,45,89,267,445,801,1335,4005

Greatest Common Factor

We found the factors 72,4005 . The biggest common factor number is the GCF number.
So the greatest common factor 72,4005 is 9.


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 564/72, 227/4005

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 564/72, 227/4005?

Answer: LCM of Numerators as per given numbers 564/72, 227/4005 is

LCM of Numerators i.e. for 564,227 is 128028

GCF of denominators i.e. for 72,4005 is 9.

Thus, LCM of Fractions is 128028/9.Finally, LCM of Fractions for 564/72, 227/4005 is 128028/9.