Least Common Multiple of 432/27, 2796/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 432/27, 2796/191 quickly i.e. 100656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/27, 2796/191 is 100656.

LCM(432/27, 2796/191) = 100656

LCM of 432/27, 2796/191

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 432/27,2796/191

Given numbers are 432/27,2796/191

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 432,2796

Least Common Multiple of Numerators i.e. LCM of 432,2796 is 100656.

GCF of Denominators means GCF of 27,191 as per the given fractions.

GCF of 27,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,2796

LCM of Fractions 432/27,2796/191 is 100656

2 432, 2796
2 216, 1398
3 108, 699
36, 233

∴ So the LCM of the given numbers is 2 x 2 x 3 x 36 x 233 = 100656

Least Common Multiple of 432,2796 with GCF Formula

Least Common Multiple of 432,2796 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 432,2796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,2796) = 12

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

GCF(432,2796) x common factors =12 x 1 = 12

LCM(432,2796) = ( 432 × 2796 ) / 12

LCM(432,2796) = 1207872 / 12

LCM(432,2796) = 100656


Lets's calculate GCF of 27,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100656/1

Therefore the LCM of Fractions 432/27,2796/191 is 100656

Greatest Common Factor of 27,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,191 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 27,191 . The biggest common factor number is the GCF number.
So the greatest common factor 27,191 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 432/27, 2796/191

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 432/27, 2796/191?

Answer: LCM of Numerators as per given numbers 432/27, 2796/191 is

LCM of Numerators i.e. for 432,2796 is 100656

GCF of denominators i.e. for 27,191 is 1.

Thus, LCM of Fractions is 100656.Finally, LCM of Fractions for 432/27, 2796/191 is 100656.