Least Common Multiple of 44/27, 69/41, 71/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/27, 69/41, 71/864 quickly i.e. 215556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/27, 69/41, 71/864 is 215556.

LCM(44/27, 69/41, 71/864) = 215556

LCM of 44/27, 69/41, 71/864

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 44/27,69/41,71/864

Given numbers are 44/27,69/41,71/864

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 44,69,71

Least Common Multiple of Numerators i.e. LCM of 44,69,71 is 215556.

GCF of Denominators means GCF of 27,41,864 as per the given fractions.

GCF of 27,41,864 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,69,71

LCM of Fractions 44/27,69/41,71/864 is 215556

Given numbers has no common factors except 1. So, there LCM is their product i.e 215556

Least Common Multiple of 44,69,71 with GCF Formula

Least Common Multiple of 44,69,71 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 44,69,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,69,71) = 1

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

GCF(44,69,71) x common factors =1 x 1 = 1

LCM(44,69,71) = ( 44 × 69 × 71 ) / 1

LCM(44,69,71) = 215556 / 1

LCM(44,69,71) = 215556


Lets's calculate GCF of 27,41,864

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215556/1

Therefore the LCM of Fractions 44/27,69/41,71/864 is 215556

Greatest Common Factor of 27,41,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,41,864 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 27,41,864 . The biggest common factor number is the GCF number.
So the greatest common factor 27,41,864 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 44/27, 69/41, 71/864

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 44/27, 69/41, 71/864?

Answer: LCM of Numerators as per given numbers 44/27, 69/41, 71/864 is

LCM of Numerators i.e. for 44,69,71 is 215556

GCF of denominators i.e. for 27,41,864 is 1.

Thus, LCM of Fractions is 215556.Finally, LCM of Fractions for 44/27, 69/41, 71/864 is 215556.