Least Common Multiple of 4356/187, 9728/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4356/187, 9728/729 quickly i.e. 10593792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4356/187, 9728/729 is 10593792.

LCM(4356/187, 9728/729) = 10593792

LCM of 4356/187, 9728/729

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 4356/187,9728/729

Given numbers are 4356/187,9728/729

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 4356,9728

Least Common Multiple of Numerators i.e. LCM of 4356,9728 is 10593792.

GCF of Denominators means GCF of 187,729 as per the given fractions.

GCF of 187,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4356,9728

LCM of Fractions 4356/187,9728/729 is 10593792

2 4356, 9728
2 2178, 4864
1089, 2432

∴ So the LCM of the given numbers is 2 x 2 x 1089 x 2432 = 10593792

Least Common Multiple of 4356,9728 with GCF Formula

Least Common Multiple of 4356,9728 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 4356,9728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4356,9728) = 4

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

GCF(4356,9728) x common factors =4 x 1 = 4

LCM(4356,9728) = ( 4356 × 9728 ) / 4

LCM(4356,9728) = 42375168 / 4

LCM(4356,9728) = 10593792


Lets's calculate GCF of 187,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10593792/1

Therefore the LCM of Fractions 4356/187,9728/729 is 10593792

Greatest Common Factor of 187,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,729 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

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 187,729 . The biggest common factor number is the GCF number.
So the greatest common factor 187,729 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 4356/187, 9728/729

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 4356/187, 9728/729?

Answer: LCM of Numerators as per given numbers 4356/187, 9728/729 is

LCM of Numerators i.e. for 4356,9728 is 10593792

GCF of denominators i.e. for 187,729 is 1.

Thus, LCM of Fractions is 10593792.Finally, LCM of Fractions for 4356/187, 9728/729 is 10593792.