Least Common Multiple of 80/813, 5923/1725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/813, 5923/1725 quickly i.e. 473840/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/813, 5923/1725 is 473840/3.

LCM(80/813, 5923/1725) = 473840/3

LCM of 80/813, 5923/1725

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 80/813,5923/1725

Given numbers are 80/813,5923/1725

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 80,5923

Least Common Multiple of Numerators i.e. LCM of 80,5923 is 473840.

GCF of Denominators means GCF of 813,1725 as per the given fractions.

GCF of 813,1725 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,5923

LCM of Fractions 80/813,5923/1725 is 473840/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 473840

Least Common Multiple of 80,5923 with GCF Formula

Least Common Multiple of 80,5923 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 80,5923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,5923) = 1

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

GCF(80,5923) x common factors =1 x 1 = 1

LCM(80,5923) = ( 80 × 5923 ) / 1

LCM(80,5923) = 473840 / 1

LCM(80,5923) = 473840


Lets's calculate GCF of 813,1725

3 813, 1725
271, 575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473840/3

Therefore the LCM of Fractions 80/813,5923/1725 is 473840/3

Greatest Common Factor of 813,1725 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,1725 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Greatest Common Factor

We found the factors 813,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 813,1725 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 80/813, 5923/1725

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 80/813, 5923/1725?

Answer: LCM of Numerators as per given numbers 80/813, 5923/1725 is

LCM of Numerators i.e. for 80,5923 is 473840

GCF of denominators i.e. for 813,1725 is 3.

Thus, LCM of Fractions is 473840/3.Finally, LCM of Fractions for 80/813, 5923/1725 is 473840/3.