Least Common Multiple of 723/75, 7588/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/75, 7588/819 quickly i.e. 1828708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/75, 7588/819 is 1828708.

LCM(723/75, 7588/819) = 1828708

LCM of 723/75, 7588/819

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 723/75,7588/819

Given numbers are 723/75,7588/819

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 723,7588

Least Common Multiple of Numerators i.e. LCM of 723,7588 is 5486124.

GCF of Denominators means GCF of 75,819 as per the given fractions.

GCF of 75,819 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,7588

LCM of Fractions 723/75,7588/819 is 1828708

Given numbers has no common factors except 1. So, there LCM is their product i.e 5486124

Least Common Multiple of 723,7588 with GCF Formula

Least Common Multiple of 723,7588 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 723,7588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,7588) = 1

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

GCF(723,7588) x common factors =1 x 1 = 1

LCM(723,7588) = ( 723 × 7588 ) / 1

LCM(723,7588) = 5486124 / 1

LCM(723,7588) = 5486124


Lets's calculate GCF of 75,819

3 75, 819
25, 273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5486124/3

Therefore the LCM of Fractions 723/75,7588/819 is 1828708

Greatest Common Factor of 75,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,819 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 75,819 . The biggest common factor number is the GCF number.
So the greatest common factor 75,819 is 3.


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 723/75, 7588/819

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 723/75, 7588/819?

Answer: LCM of Numerators as per given numbers 723/75, 7588/819 is

LCM of Numerators i.e. for 723,7588 is 5486124

GCF of denominators i.e. for 75,819 is 3.

Thus, LCM of Fractions is 1828708.Finally, LCM of Fractions for 723/75, 7588/819 is 1828708.