Least Common Multiple of 523/36, 803/1389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/36, 803/1389 quickly i.e. 419969/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/36, 803/1389 is 419969/3.

LCM(523/36, 803/1389) = 419969/3

LCM of 523/36, 803/1389

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 523/36,803/1389

Given numbers are 523/36,803/1389

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 523,803

Least Common Multiple of Numerators i.e. LCM of 523,803 is 419969.

GCF of Denominators means GCF of 36,1389 as per the given fractions.

GCF of 36,1389 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,803

LCM of Fractions 523/36,803/1389 is 419969/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 419969

Least Common Multiple of 523,803 with GCF Formula

Least Common Multiple of 523,803 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 523,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,803) = 1

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

GCF(523,803) x common factors =1 x 1 = 1

LCM(523,803) = ( 523 × 803 ) / 1

LCM(523,803) = 419969 / 1

LCM(523,803) = 419969


Lets's calculate GCF of 36,1389

3 36, 1389
12, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 419969/3

Therefore the LCM of Fractions 523/36,803/1389 is 419969/3

Greatest Common Factor of 36,1389 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1389 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 1389

List of positive integer factors of 1389 that divides 1389 without a remainder.

1,3,463,1389

Greatest Common Factor

We found the factors 36,1389 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1389 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 523/36, 803/1389

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 523/36, 803/1389?

Answer: LCM of Numerators as per given numbers 523/36, 803/1389 is

LCM of Numerators i.e. for 523,803 is 419969

GCF of denominators i.e. for 36,1389 is 3.

Thus, LCM of Fractions is 419969/3.Finally, LCM of Fractions for 523/36, 803/1389 is 419969/3.