Least Common Multiple of 9/381, 20/523, 47/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/381, 20/523, 47/857 quickly i.e. 8460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/381, 20/523, 47/857 is 8460.

LCM(9/381, 20/523, 47/857) = 8460

LCM of 9/381, 20/523, 47/857

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 9/381,20/523,47/857

Given numbers are 9/381,20/523,47/857

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 9,20,47

Least Common Multiple of Numerators i.e. LCM of 9,20,47 is 8460.

GCF of Denominators means GCF of 381,523,857 as per the given fractions.

GCF of 381,523,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,20,47

LCM of Fractions 9/381,20/523,47/857 is 8460

Given numbers has no common factors except 1. So, there LCM is their product i.e 8460

Least Common Multiple of 9,20,47 with GCF Formula

Least Common Multiple of 9,20,47 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 9,20,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,20,47) = 1

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

GCF(9,20,47) x common factors =1 x 1 = 1

LCM(9,20,47) = ( 9 × 20 × 47 ) / 1

LCM(9,20,47) = 8460 / 1

LCM(9,20,47) = 8460


Lets's calculate GCF of 381,523,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8460/1

Therefore the LCM of Fractions 9/381,20/523,47/857 is 8460

Greatest Common Factor of 381,523,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,523,857 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 381,523,857 . The biggest common factor number is the GCF number.
So the greatest common factor 381,523,857 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 9/381, 20/523, 47/857

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 9/381, 20/523, 47/857?

Answer: LCM of Numerators as per given numbers 9/381, 20/523, 47/857 is

LCM of Numerators i.e. for 9,20,47 is 8460

GCF of denominators i.e. for 381,523,857 is 1.

Thus, LCM of Fractions is 8460.Finally, LCM of Fractions for 9/381, 20/523, 47/857 is 8460.