Least Common Multiple of 10/731, 523/789, 728/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/731, 523/789, 728/805 quickly i.e. 1903720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/731, 523/789, 728/805 is 1903720.

LCM(10/731, 523/789, 728/805) = 1903720

LCM of 10/731, 523/789, 728/805

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 10/731,523/789,728/805

Given numbers are 10/731,523/789,728/805

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 10,523,728

Least Common Multiple of Numerators i.e. LCM of 10,523,728 is 1903720.

GCF of Denominators means GCF of 731,789,805 as per the given fractions.

GCF of 731,789,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,523,728

LCM of Fractions 10/731,523/789,728/805 is 1903720

2 10, 523, 728
5, 523, 364

∴ So the LCM of the given numbers is 2 x 5 x 523 x 364 = 1903720

Least Common Multiple of 10,523,728 with GCF Formula

Least Common Multiple of 10,523,728 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 10,523,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,523,728) = 1

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

GCF(10,523,728) x common factors =1 x 2 = 2

LCM(10,523,728) = ( 10 × 523 × 728 ) / 2

LCM(10,523,728) = 3807440 / 2

LCM(10,523,728) = 1903720


Lets's calculate GCF of 731,789,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1903720/1

Therefore the LCM of Fractions 10/731,523/789,728/805 is 1903720

Greatest Common Factor of 731,789,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,789,805 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 731,789,805 . The biggest common factor number is the GCF number.
So the greatest common factor 731,789,805 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 10/731, 523/789, 728/805

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 10/731, 523/789, 728/805?

Answer: LCM of Numerators as per given numbers 10/731, 523/789, 728/805 is

LCM of Numerators i.e. for 10,523,728 is 1903720

GCF of denominators i.e. for 731,789,805 is 1.

Thus, LCM of Fractions is 1903720.Finally, LCM of Fractions for 10/731, 523/789, 728/805 is 1903720.