Least Common Multiple of 723/54, 963/3824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/54, 963/3824 quickly i.e. 232083/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/54, 963/3824 is 232083/2.

LCM(723/54, 963/3824) = 232083/2

LCM of 723/54, 963/3824

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 723/54,963/3824

Given numbers are 723/54,963/3824

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 723,963

Least Common Multiple of Numerators i.e. LCM of 723,963 is 232083.

GCF of Denominators means GCF of 54,3824 as per the given fractions.

GCF of 54,3824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,963

LCM of Fractions 723/54,963/3824 is 232083/2

3 723, 963
241, 321

∴ So the LCM of the given numbers is 3 x 241 x 321 = 232083

Least Common Multiple of 723,963 with GCF Formula

Least Common Multiple of 723,963 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 723,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,963) = 3

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

GCF(723,963) x common factors =3 x 1 = 3

LCM(723,963) = ( 723 × 963 ) / 3

LCM(723,963) = 696249 / 3

LCM(723,963) = 232083


Lets's calculate GCF of 54,3824

2 54, 3824
27, 1912

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232083/2

Therefore the LCM of Fractions 723/54,963/3824 is 232083/2

Greatest Common Factor of 54,3824 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,3824 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 3824

List of positive integer factors of 3824 that divides 3824 without a remainder.

1,2,4,8,16,239,478,956,1912,3824

Greatest Common Factor

We found the factors 54,3824 . The biggest common factor number is the GCF number.
So the greatest common factor 54,3824 is 2.


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 723/54, 963/3824

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 723/54, 963/3824?

Answer: LCM of Numerators as per given numbers 723/54, 963/3824 is

LCM of Numerators i.e. for 723,963 is 232083

GCF of denominators i.e. for 54,3824 is 2.

Thus, LCM of Fractions is 232083/2.Finally, LCM of Fractions for 723/54, 963/3824 is 232083/2.