Least Common Multiple of 813/721, 5628/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/721, 5628/345 quickly i.e. 1525188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/721, 5628/345 is 1525188.

LCM(813/721, 5628/345) = 1525188

LCM of 813/721, 5628/345

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 813/721,5628/345

Given numbers are 813/721,5628/345

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 813,5628

Least Common Multiple of Numerators i.e. LCM of 813,5628 is 1525188.

GCF of Denominators means GCF of 721,345 as per the given fractions.

GCF of 721,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,5628

LCM of Fractions 813/721,5628/345 is 1525188

3 813, 5628
271, 1876

∴ So the LCM of the given numbers is 3 x 271 x 1876 = 1525188

Least Common Multiple of 813,5628 with GCF Formula

Least Common Multiple of 813,5628 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 813,5628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,5628) = 3

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

GCF(813,5628) x common factors =3 x 1 = 3

LCM(813,5628) = ( 813 × 5628 ) / 3

LCM(813,5628) = 4575564 / 3

LCM(813,5628) = 1525188


Lets's calculate GCF of 721,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1525188/1

Therefore the LCM of Fractions 813/721,5628/345 is 1525188

Greatest Common Factor of 721,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,345 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 721,345 . The biggest common factor number is the GCF number.
So the greatest common factor 721,345 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 813/721, 5628/345

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 813/721, 5628/345?

Answer: LCM of Numerators as per given numbers 813/721, 5628/345 is

LCM of Numerators i.e. for 813,5628 is 1525188

GCF of denominators i.e. for 721,345 is 1.

Thus, LCM of Fractions is 1525188.Finally, LCM of Fractions for 813/721, 5628/345 is 1525188.