Least Common Multiple of 231/443, 4239/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/443, 4239/519 quickly i.e. 326403 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/443, 4239/519 is 326403.

LCM(231/443, 4239/519) = 326403

LCM of 231/443, 4239/519

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 231/443,4239/519

Given numbers are 231/443,4239/519

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 231,4239

Least Common Multiple of Numerators i.e. LCM of 231,4239 is 326403.

GCF of Denominators means GCF of 443,519 as per the given fractions.

GCF of 443,519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,4239

LCM of Fractions 231/443,4239/519 is 326403

3 231, 4239
77, 1413

∴ So the LCM of the given numbers is 3 x 77 x 1413 = 326403

Least Common Multiple of 231,4239 with GCF Formula

Least Common Multiple of 231,4239 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 231,4239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,4239) = 3

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

GCF(231,4239) x common factors =3 x 1 = 3

LCM(231,4239) = ( 231 × 4239 ) / 3

LCM(231,4239) = 979209 / 3

LCM(231,4239) = 326403


Lets's calculate GCF of 443,519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326403/1

Therefore the LCM of Fractions 231/443,4239/519 is 326403

Greatest Common Factor of 443,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,519 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 443,519 . The biggest common factor number is the GCF number.
So the greatest common factor 443,519 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 231/443, 4239/519

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 231/443, 4239/519?

Answer: LCM of Numerators as per given numbers 231/443, 4239/519 is

LCM of Numerators i.e. for 231,4239 is 326403

GCF of denominators i.e. for 443,519 is 1.

Thus, LCM of Fractions is 326403.Finally, LCM of Fractions for 231/443, 4239/519 is 326403.