Least Common Multiple of 723/906, 4327/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/906, 4327/909 quickly i.e. 1042807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/906, 4327/909 is 1042807.

LCM(723/906, 4327/909) = 1042807

LCM of 723/906, 4327/909

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 723/906,4327/909

Given numbers are 723/906,4327/909

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 723,4327

Least Common Multiple of Numerators i.e. LCM of 723,4327 is 3128421.

GCF of Denominators means GCF of 906,909 as per the given fractions.

GCF of 906,909 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,4327

LCM of Fractions 723/906,4327/909 is 1042807

Given numbers has no common factors except 1. So, there LCM is their product i.e 3128421

Least Common Multiple of 723,4327 with GCF Formula

Least Common Multiple of 723,4327 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 723,4327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,4327) = 1

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

GCF(723,4327) x common factors =1 x 1 = 1

LCM(723,4327) = ( 723 × 4327 ) / 1

LCM(723,4327) = 3128421 / 1

LCM(723,4327) = 3128421


Lets's calculate GCF of 906,909

3 906, 909
302, 303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3128421/3

Therefore the LCM of Fractions 723/906,4327/909 is 1042807

Greatest Common Factor of 906,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,909 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 906,909 . The biggest common factor number is the GCF number.
So the greatest common factor 906,909 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 723/906, 4327/909

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 723/906, 4327/909?

Answer: LCM of Numerators as per given numbers 723/906, 4327/909 is

LCM of Numerators i.e. for 723,4327 is 3128421

GCF of denominators i.e. for 906,909 is 3.

Thus, LCM of Fractions is 1042807.Finally, LCM of Fractions for 723/906, 4327/909 is 1042807.