Least Common Multiple of 81/21, 932/34, 538/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/21, 932/34, 538/792 quickly i.e. 20307348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/21, 932/34, 538/792 is 20307348.

LCM(81/21, 932/34, 538/792) = 20307348

LCM of 81/21, 932/34, 538/792

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 81/21,932/34,538/792

Given numbers are 81/21,932/34,538/792

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 81,932,538

Least Common Multiple of Numerators i.e. LCM of 81,932,538 is 20307348.

GCF of Denominators means GCF of 21,34,792 as per the given fractions.

GCF of 21,34,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,932,538

LCM of Fractions 81/21,932/34,538/792 is 20307348

2 81, 932, 538
81, 466, 269

∴ So the LCM of the given numbers is 2 x 81 x 466 x 269 = 20307348

Least Common Multiple of 81,932,538 with GCF Formula

Least Common Multiple of 81,932,538 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 81,932,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,932,538) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(81,932,538) x common factors =1 x 2 = 2

LCM(81,932,538) = ( 81 × 932 × 538 ) / 2

LCM(81,932,538) = 40614696 / 2

LCM(81,932,538) = 20307348


Lets's calculate GCF of 21,34,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20307348/1

Therefore the LCM of Fractions 81/21,932/34,538/792 is 20307348

Greatest Common Factor of 21,34,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,34,792 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 21,34,792 . The biggest common factor number is the GCF number.
So the greatest common factor 21,34,792 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 81/21, 932/34, 538/792

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 81/21, 932/34, 538/792?

Answer: LCM of Numerators as per given numbers 81/21, 932/34, 538/792 is

LCM of Numerators i.e. for 81,932,538 is 20307348

GCF of denominators i.e. for 21,34,792 is 1.

Thus, LCM of Fractions is 20307348.Finally, LCM of Fractions for 81/21, 932/34, 538/792 is 20307348.