Least Common Multiple of 2432/144, 7083/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2432/144, 7083/729 quickly i.e. 1913984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2432/144, 7083/729 is 1913984.

LCM(2432/144, 7083/729) = 1913984

LCM of 2432/144, 7083/729

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 2432/144,7083/729

Given numbers are 2432/144,7083/729

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 2432,7083

Least Common Multiple of Numerators i.e. LCM of 2432,7083 is 17225856.

GCF of Denominators means GCF of 144,729 as per the given fractions.

GCF of 144,729 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2432,7083

LCM of Fractions 2432/144,7083/729 is 1913984

Given numbers has no common factors except 1. So, there LCM is their product i.e 17225856

Least Common Multiple of 2432,7083 with GCF Formula

Least Common Multiple of 2432,7083 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 2432,7083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2432,7083) = 1

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

GCF(2432,7083) x common factors =1 x 1 = 1

LCM(2432,7083) = ( 2432 × 7083 ) / 1

LCM(2432,7083) = 17225856 / 1

LCM(2432,7083) = 17225856


Lets's calculate GCF of 144,729

3 144, 729
3 48, 243
16, 81

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17225856/9

Therefore the LCM of Fractions 2432/144,7083/729 is 1913984

Greatest Common Factor of 144,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,729 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 144,729 . The biggest common factor number is the GCF number.
So the greatest common factor 144,729 is 9.


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 2432/144, 7083/729

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 2432/144, 7083/729?

Answer: LCM of Numerators as per given numbers 2432/144, 7083/729 is

LCM of Numerators i.e. for 2432,7083 is 17225856

GCF of denominators i.e. for 144,729 is 9.

Thus, LCM of Fractions is 1913984.Finally, LCM of Fractions for 2432/144, 7083/729 is 1913984.