Least Common Multiple of 81/585, 9846/8703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/585, 9846/8703 quickly i.e. 9846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/585, 9846/8703 is 9846.

LCM(81/585, 9846/8703) = 9846

LCM of 81/585, 9846/8703

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 81/585,9846/8703

Given numbers are 81/585,9846/8703

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 81,9846

Least Common Multiple of Numerators i.e. LCM of 81,9846 is 88614.

GCF of Denominators means GCF of 585,8703 as per the given fractions.

GCF of 585,8703 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,9846

LCM of Fractions 81/585,9846/8703 is 9846

3 81, 9846
3 27, 3282
9, 1094

∴ So the LCM of the given numbers is 3 x 3 x 9 x 1094 = 88614

Least Common Multiple of 81,9846 with GCF Formula

Least Common Multiple of 81,9846 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 81,9846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,9846) = 9

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

GCF(81,9846) x common factors =9 x 1 = 9

LCM(81,9846) = ( 81 × 9846 ) / 9

LCM(81,9846) = 797526 / 9

LCM(81,9846) = 88614


Lets's calculate GCF of 585,8703

3 585, 8703
3 195, 2901
65, 967

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88614/9

Therefore the LCM of Fractions 81/585,9846/8703 is 9846

Greatest Common Factor of 585,8703 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,8703 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 8703

List of positive integer factors of 8703 that divides 8703 without a remainder.

1,3,9,967,2901,8703

Greatest Common Factor

We found the factors 585,8703 . The biggest common factor number is the GCF number.
So the greatest common factor 585,8703 is 9.


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 81/585, 9846/8703

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 81/585, 9846/8703?

Answer: LCM of Numerators as per given numbers 81/585, 9846/8703 is

LCM of Numerators i.e. for 81,9846 is 88614

GCF of denominators i.e. for 585,8703 is 9.

Thus, LCM of Fractions is 9846.Finally, LCM of Fractions for 81/585, 9846/8703 is 9846.