Least Common Multiple of 81/475, 641/213, 731/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/475, 641/213, 731/365 quickly i.e. 37954251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/475, 641/213, 731/365 is 37954251.

LCM(81/475, 641/213, 731/365) = 37954251

LCM of 81/475, 641/213, 731/365

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 81/475,641/213,731/365

Given numbers are 81/475,641/213,731/365

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 81,641,731

Least Common Multiple of Numerators i.e. LCM of 81,641,731 is 37954251.

GCF of Denominators means GCF of 475,213,365 as per the given fractions.

GCF of 475,213,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,641,731

LCM of Fractions 81/475,641/213,731/365 is 37954251

Given numbers has no common factors except 1. So, there LCM is their product i.e 37954251

Least Common Multiple of 81,641,731 with GCF Formula

Least Common Multiple of 81,641,731 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 81,641,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,641,731) = 1

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

GCF(81,641,731) x common factors =1 x 1 = 1

LCM(81,641,731) = ( 81 × 641 × 731 ) / 1

LCM(81,641,731) = 37954251 / 1

LCM(81,641,731) = 37954251


Lets's calculate GCF of 475,213,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37954251/1

Therefore the LCM of Fractions 81/475,641/213,731/365 is 37954251

Greatest Common Factor of 475,213,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,213,365 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 475,213,365 . The biggest common factor number is the GCF number.
So the greatest common factor 475,213,365 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 81/475, 641/213, 731/365

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 81/475, 641/213, 731/365?

Answer: LCM of Numerators as per given numbers 81/475, 641/213, 731/365 is

LCM of Numerators i.e. for 81,641,731 is 37954251

GCF of denominators i.e. for 475,213,365 is 1.

Thus, LCM of Fractions is 37954251.Finally, LCM of Fractions for 81/475, 641/213, 731/365 is 37954251.