Least Common Multiple of 868/285, 811/405, 721/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/285, 811/405, 721/915 quickly i.e. 72506644/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/285, 811/405, 721/915 is 72506644/15.

LCM(868/285, 811/405, 721/915) = 72506644/15

LCM of 868/285, 811/405, 721/915

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 868/285,811/405,721/915

Given numbers are 868/285,811/405,721/915

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 868,811,721

Least Common Multiple of Numerators i.e. LCM of 868,811,721 is 72506644.

GCF of Denominators means GCF of 285,405,915 as per the given fractions.

GCF of 285,405,915 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,811,721

LCM of Fractions 868/285,811/405,721/915 is 72506644/15

7 868, 811, 721
124, 811, 103

∴ So the LCM of the given numbers is 7 x 124 x 811 x 103 = 72506644

Least Common Multiple of 868,811,721 with GCF Formula

Least Common Multiple of 868,811,721 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 868,811,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,811,721) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(868,811,721) x common factors =1 x 7 = 7

LCM(868,811,721) = ( 868 × 811 × 721 ) / 7

LCM(868,811,721) = 507546508 / 7

LCM(868,811,721) = 72506644


Lets's calculate GCF of 285,405,915

3 285, 405, 915
5 95, 135, 305
19, 27, 61

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72506644/15

Therefore the LCM of Fractions 868/285,811/405,721/915 is 72506644/15

Greatest Common Factor of 285,405,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,405,915 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 285,405,915 . The biggest common factor number is the GCF number.
So the greatest common factor 285,405,915 is 15.


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 868/285, 811/405, 721/915

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 868/285, 811/405, 721/915?

Answer: LCM of Numerators as per given numbers 868/285, 811/405, 721/915 is

LCM of Numerators i.e. for 868,811,721 is 72506644

GCF of denominators i.e. for 285,405,915 is 15.

Thus, LCM of Fractions is 72506644/15.Finally, LCM of Fractions for 868/285, 811/405, 721/915 is 72506644/15.