Least Common Multiple of 464/43, 523/3799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/43, 523/3799 quickly i.e. 242672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/43, 523/3799 is 242672.

LCM(464/43, 523/3799) = 242672

LCM of 464/43, 523/3799

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 464/43,523/3799

Given numbers are 464/43,523/3799

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 464,523

Least Common Multiple of Numerators i.e. LCM of 464,523 is 242672.

GCF of Denominators means GCF of 43,3799 as per the given fractions.

GCF of 43,3799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,523

LCM of Fractions 464/43,523/3799 is 242672

Given numbers has no common factors except 1. So, there LCM is their product i.e 242672

Least Common Multiple of 464,523 with GCF Formula

Least Common Multiple of 464,523 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 464,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,523) = 1

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

GCF(464,523) x common factors =1 x 1 = 1

LCM(464,523) = ( 464 × 523 ) / 1

LCM(464,523) = 242672 / 1

LCM(464,523) = 242672


Lets's calculate GCF of 43,3799

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242672/1

Therefore the LCM of Fractions 464/43,523/3799 is 242672

Greatest Common Factor of 43,3799 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,3799 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 3799

List of positive integer factors of 3799 that divides 3799 without a remainder.

1,29,131,3799

Greatest Common Factor

We found the factors 43,3799 . The biggest common factor number is the GCF number.
So the greatest common factor 43,3799 is 1.


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 464/43, 523/3799

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 464/43, 523/3799?

Answer: LCM of Numerators as per given numbers 464/43, 523/3799 is

LCM of Numerators i.e. for 464,523 is 242672

GCF of denominators i.e. for 43,3799 is 1.

Thus, LCM of Fractions is 242672.Finally, LCM of Fractions for 464/43, 523/3799 is 242672.