Least Common Multiple of 481/30, 419/2031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 481/30, 419/2031 quickly i.e. 201539/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/30, 419/2031 is 201539/3.

LCM(481/30, 419/2031) = 201539/3

LCM of 481/30, 419/2031

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 481/30,419/2031

Given numbers are 481/30,419/2031

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 481,419

Least Common Multiple of Numerators i.e. LCM of 481,419 is 201539.

GCF of Denominators means GCF of 30,2031 as per the given fractions.

GCF of 30,2031 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,419

LCM of Fractions 481/30,419/2031 is 201539/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 201539

Least Common Multiple of 481,419 with GCF Formula

Least Common Multiple of 481,419 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 481,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,419) = 1

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

GCF(481,419) x common factors =1 x 1 = 1

LCM(481,419) = ( 481 × 419 ) / 1

LCM(481,419) = 201539 / 1

LCM(481,419) = 201539


Lets's calculate GCF of 30,2031

3 30, 2031
10, 677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201539/3

Therefore the LCM of Fractions 481/30,419/2031 is 201539/3

Greatest Common Factor of 30,2031 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,2031 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 2031

List of positive integer factors of 2031 that divides 2031 without a remainder.

1,3,677,2031

Greatest Common Factor

We found the factors 30,2031 . The biggest common factor number is the GCF number.
So the greatest common factor 30,2031 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 481/30, 419/2031

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 481/30, 419/2031?

Answer: LCM of Numerators as per given numbers 481/30, 419/2031 is

LCM of Numerators i.e. for 481,419 is 201539

GCF of denominators i.e. for 30,2031 is 3.

Thus, LCM of Fractions is 201539/3.Finally, LCM of Fractions for 481/30, 419/2031 is 201539/3.