Least Common Multiple of 201/81, 1905/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 201/81, 1905/411 quickly i.e. 42545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 201/81, 1905/411 is 42545.

LCM(201/81, 1905/411) = 42545

LCM of 201/81, 1905/411

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 201/81,1905/411

Given numbers are 201/81,1905/411

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 201,1905

Least Common Multiple of Numerators i.e. LCM of 201,1905 is 127635.

GCF of Denominators means GCF of 81,411 as per the given fractions.

GCF of 81,411 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 201,1905

LCM of Fractions 201/81,1905/411 is 42545

3 201, 1905
67, 635

∴ So the LCM of the given numbers is 3 x 67 x 635 = 127635

Least Common Multiple of 201,1905 with GCF Formula

Least Common Multiple of 201,1905 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 201,1905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,1905) = 3

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

GCF(201,1905) x common factors =3 x 1 = 3

LCM(201,1905) = ( 201 × 1905 ) / 3

LCM(201,1905) = 382905 / 3

LCM(201,1905) = 127635


Lets's calculate GCF of 81,411

3 81, 411
27, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127635/3

Therefore the LCM of Fractions 201/81,1905/411 is 42545

Greatest Common Factor of 81,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,411 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 81,411 . The biggest common factor number is the GCF number.
So the greatest common factor 81,411 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 201/81, 1905/411

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 201/81, 1905/411?

Answer: LCM of Numerators as per given numbers 201/81, 1905/411 is

LCM of Numerators i.e. for 201,1905 is 127635

GCF of denominators i.e. for 81,411 is 3.

Thus, LCM of Fractions is 42545.Finally, LCM of Fractions for 201/81, 1905/411 is 42545.