Least Common Multiple of 231/38, 618/4347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/38, 618/4347 quickly i.e. 47586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/38, 618/4347 is 47586.

LCM(231/38, 618/4347) = 47586

LCM of 231/38, 618/4347

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 231/38,618/4347

Given numbers are 231/38,618/4347

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 231,618

Least Common Multiple of Numerators i.e. LCM of 231,618 is 47586.

GCF of Denominators means GCF of 38,4347 as per the given fractions.

GCF of 38,4347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,618

LCM of Fractions 231/38,618/4347 is 47586

3 231, 618
77, 206

∴ So the LCM of the given numbers is 3 x 77 x 206 = 47586

Least Common Multiple of 231,618 with GCF Formula

Least Common Multiple of 231,618 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 231,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,618) = 3

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

GCF(231,618) x common factors =3 x 1 = 3

LCM(231,618) = ( 231 × 618 ) / 3

LCM(231,618) = 142758 / 3

LCM(231,618) = 47586


Lets's calculate GCF of 38,4347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47586/1

Therefore the LCM of Fractions 231/38,618/4347 is 47586

Greatest Common Factor of 38,4347 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,4347 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 4347

List of positive integer factors of 4347 that divides 4347 without a remainder.

1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347

Greatest Common Factor

We found the factors 38,4347 . The biggest common factor number is the GCF number.
So the greatest common factor 38,4347 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 231/38, 618/4347

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 231/38, 618/4347?

Answer: LCM of Numerators as per given numbers 231/38, 618/4347 is

LCM of Numerators i.e. for 231,618 is 47586

GCF of denominators i.e. for 38,4347 is 1.

Thus, LCM of Fractions is 47586.Finally, LCM of Fractions for 231/38, 618/4347 is 47586.