Least Common Multiple of 81/615, 23/643, 696/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/615, 23/643, 696/867 quickly i.e. 432216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/615, 23/643, 696/867 is 432216.

LCM(81/615, 23/643, 696/867) = 432216

LCM of 81/615, 23/643, 696/867

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 81/615,23/643,696/867

Given numbers are 81/615,23/643,696/867

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 81,23,696

Least Common Multiple of Numerators i.e. LCM of 81,23,696 is 432216.

GCF of Denominators means GCF of 615,643,867 as per the given fractions.

GCF of 615,643,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,23,696

LCM of Fractions 81/615,23/643,696/867 is 432216

3 81, 23, 696
27, 23, 232

∴ So the LCM of the given numbers is 3 x 27 x 23 x 232 = 432216

Least Common Multiple of 81,23,696 with GCF Formula

Least Common Multiple of 81,23,696 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 81,23,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,23,696) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,23,696) x common factors =1 x 3 = 3

LCM(81,23,696) = ( 81 × 23 × 696 ) / 3

LCM(81,23,696) = 1296648 / 3

LCM(81,23,696) = 432216


Lets's calculate GCF of 615,643,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432216/1

Therefore the LCM of Fractions 81/615,23/643,696/867 is 432216

Greatest Common Factor of 615,643,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,643,867 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 615,643,867 . The biggest common factor number is the GCF number.
So the greatest common factor 615,643,867 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 81/615, 23/643, 696/867

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 81/615, 23/643, 696/867?

Answer: LCM of Numerators as per given numbers 81/615, 23/643, 696/867 is

LCM of Numerators i.e. for 81,23,696 is 432216

GCF of denominators i.e. for 615,643,867 is 1.

Thus, LCM of Fractions is 432216.Finally, LCM of Fractions for 81/615, 23/643, 696/867 is 432216.