Least Common Multiple of 16/27, 81/91, 82/18, 25/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/27, 81/91, 82/18, 25/281 quickly i.e. 1328400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/27, 81/91, 82/18, 25/281 is 1328400.

LCM(16/27, 81/91, 82/18, 25/281) = 1328400

LCM of 16/27, 81/91, 82/18, 25/281

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 16/27,81/91,82/18,25/281

Given numbers are 16/27,81/91,82/18,25/281

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 16,81,82,25

Least Common Multiple of Numerators i.e. LCM of 16,81,82,25 is 1328400.

GCF of Denominators means GCF of 27,91,18,281 as per the given fractions.

GCF of 27,91,18,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,81,82,25

LCM of Fractions 16/27,81/91,82/18,25/281 is 1328400

2 16, 81, 82, 25
8, 81, 41, 25

∴ So the LCM of the given numbers is 2 x 8 x 81 x 41 x 25 = 1328400

Least Common Multiple of 16,81,82,25 with GCF Formula

Least Common Multiple of 16,81,82,25 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 16,81,82,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,81,82,25) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(16,81,82,25) x common factors =1 x 2 = 2

LCM(16,81,82,25) = ( 16 × 81 × 82 × 25 ) / 2

LCM(16,81,82,25) = 2656800 / 2

LCM(16,81,82,25) = 1328400


Lets's calculate GCF of 27,91,18,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1328400/1

Therefore the LCM of Fractions 16/27,81/91,82/18,25/281 is 1328400

Greatest Common Factor of 27,91,18,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,91,18,281 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 27,91,18,281 . The biggest common factor number is the GCF number.
So the greatest common factor 27,91,18,281 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 16/27, 81/91, 82/18, 25/281

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 16/27, 81/91, 82/18, 25/281?

Answer: LCM of Numerators as per given numbers 16/27, 81/91, 82/18, 25/281 is

LCM of Numerators i.e. for 16,81,82,25 is 1328400

GCF of denominators i.e. for 27,91,18,281 is 1.

Thus, LCM of Fractions is 1328400.Finally, LCM of Fractions for 16/27, 81/91, 82/18, 25/281 is 1328400.