Least Common Multiple of 723/489, 1353/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/489, 1353/302 quickly i.e. 326073 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/489, 1353/302 is 326073.

LCM(723/489, 1353/302) = 326073

LCM of 723/489, 1353/302

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 723/489,1353/302

Given numbers are 723/489,1353/302

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 723,1353

Least Common Multiple of Numerators i.e. LCM of 723,1353 is 326073.

GCF of Denominators means GCF of 489,302 as per the given fractions.

GCF of 489,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,1353

LCM of Fractions 723/489,1353/302 is 326073

3 723, 1353
241, 451

∴ So the LCM of the given numbers is 3 x 241 x 451 = 326073

Least Common Multiple of 723,1353 with GCF Formula

Least Common Multiple of 723,1353 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 723,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,1353) = 3

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

GCF(723,1353) x common factors =3 x 1 = 3

LCM(723,1353) = ( 723 × 1353 ) / 3

LCM(723,1353) = 978219 / 3

LCM(723,1353) = 326073


Lets's calculate GCF of 489,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326073/1

Therefore the LCM of Fractions 723/489,1353/302 is 326073

Greatest Common Factor of 489,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,302 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 489,302 . The biggest common factor number is the GCF number.
So the greatest common factor 489,302 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 723/489, 1353/302

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 723/489, 1353/302?

Answer: LCM of Numerators as per given numbers 723/489, 1353/302 is

LCM of Numerators i.e. for 723,1353 is 326073

GCF of denominators i.e. for 489,302 is 1.

Thus, LCM of Fractions is 326073.Finally, LCM of Fractions for 723/489, 1353/302 is 326073.