Least Common Multiple of 81/512, 13/881, 494/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/512, 13/881, 494/906 quickly i.e. 40014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/512, 13/881, 494/906 is 40014.

LCM(81/512, 13/881, 494/906) = 40014

LCM of 81/512, 13/881, 494/906

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 81/512,13/881,494/906

Given numbers are 81/512,13/881,494/906

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 81,13,494

Least Common Multiple of Numerators i.e. LCM of 81,13,494 is 40014.

GCF of Denominators means GCF of 512,881,906 as per the given fractions.

GCF of 512,881,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,13,494

LCM of Fractions 81/512,13/881,494/906 is 40014

13 81, 13, 494
81, 1, 38

∴ So the LCM of the given numbers is 13 x 81 x 1 x 38 = 40014

Least Common Multiple of 81,13,494 with GCF Formula

Least Common Multiple of 81,13,494 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 81,13,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,13,494) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(81,13,494) x common factors =1 x 13 = 13

LCM(81,13,494) = ( 81 × 13 × 494 ) / 13

LCM(81,13,494) = 520182 / 13

LCM(81,13,494) = 40014


Lets's calculate GCF of 512,881,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40014/1

Therefore the LCM of Fractions 81/512,13/881,494/906 is 40014

Greatest Common Factor of 512,881,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,881,906 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 512,881,906 . The biggest common factor number is the GCF number.
So the greatest common factor 512,881,906 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 81/512, 13/881, 494/906

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 81/512, 13/881, 494/906?

Answer: LCM of Numerators as per given numbers 81/512, 13/881, 494/906 is

LCM of Numerators i.e. for 81,13,494 is 40014

GCF of denominators i.e. for 512,881,906 is 1.

Thus, LCM of Fractions is 40014.Finally, LCM of Fractions for 81/512, 13/881, 494/906 is 40014.