Least Common Multiple of 2187/729, 3891/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2187/729, 3891/384 quickly i.e. 945513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2187/729, 3891/384 is 945513.

LCM(2187/729, 3891/384) = 945513

LCM of 2187/729, 3891/384

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 2187/729,3891/384

Given numbers are 2187/729,3891/384

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 2187,3891

Least Common Multiple of Numerators i.e. LCM of 2187,3891 is 2836539.

GCF of Denominators means GCF of 729,384 as per the given fractions.

GCF of 729,384 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2187,3891

LCM of Fractions 2187/729,3891/384 is 945513

3 2187, 3891
729, 1297

∴ So the LCM of the given numbers is 3 x 729 x 1297 = 2836539

Least Common Multiple of 2187,3891 with GCF Formula

Least Common Multiple of 2187,3891 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 2187,3891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2187,3891) = 3

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

GCF(2187,3891) x common factors =3 x 1 = 3

LCM(2187,3891) = ( 2187 × 3891 ) / 3

LCM(2187,3891) = 8509617 / 3

LCM(2187,3891) = 2836539


Lets's calculate GCF of 729,384

3 729, 384
243, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2836539/3

Therefore the LCM of Fractions 2187/729,3891/384 is 945513

Greatest Common Factor of 729,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,384 By Matching Biggest Common Factor Method

Factors of 729

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

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

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 729,384 . The biggest common factor number is the GCF number.
So the greatest common factor 729,384 is 3.


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Frequently Asked Questions on Fractional LCM of 2187/729, 3891/384

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 2187/729, 3891/384?

Answer: LCM of Numerators as per given numbers 2187/729, 3891/384 is

LCM of Numerators i.e. for 2187,3891 is 2836539

GCF of denominators i.e. for 729,384 is 3.

Thus, LCM of Fractions is 945513.Finally, LCM of Fractions for 2187/729, 3891/384 is 945513.