Least Common Multiple of 81/634, 54/898, 381/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/634, 54/898, 381/950 quickly i.e. 10287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/634, 54/898, 381/950 is 10287.

LCM(81/634, 54/898, 381/950) = 10287

LCM of 81/634, 54/898, 381/950

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 81/634,54/898,381/950

Given numbers are 81/634,54/898,381/950

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 81,54,381

Least Common Multiple of Numerators i.e. LCM of 81,54,381 is 20574.

GCF of Denominators means GCF of 634,898,950 as per the given fractions.

GCF of 634,898,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,54,381

LCM of Fractions 81/634,54/898,381/950 is 10287

3 81, 54, 381
3 27, 18, 127
3 9, 6, 127
3, 2, 127

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 2 x 127 = 20574

Least Common Multiple of 81,54,381 with GCF Formula

Least Common Multiple of 81,54,381 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 81,54,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,54,381) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(81,54,381) x common factors =3 x 27 = 81

LCM(81,54,381) = ( 81 × 54 × 381 ) / 81

LCM(81,54,381) = 1666494 / 81

LCM(81,54,381) = 20574


Lets's calculate GCF of 634,898,950

2 634, 898, 950
317, 449, 475

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20574/2

Therefore the LCM of Fractions 81/634,54/898,381/950 is 10287

Greatest Common Factor of 634,898,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,898,950 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 634,898,950 . The biggest common factor number is the GCF number.
So the greatest common factor 634,898,950 is 2.


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 81/634, 54/898, 381/950

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 81/634, 54/898, 381/950?

Answer: LCM of Numerators as per given numbers 81/634, 54/898, 381/950 is

LCM of Numerators i.e. for 81,54,381 is 20574

GCF of denominators i.e. for 634,898,950 is 2.

Thus, LCM of Fractions is 10287.Finally, LCM of Fractions for 81/634, 54/898, 381/950 is 10287.