Least Common Multiple of 81/19, 20/10, 72/49, 28/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/19, 20/10, 72/49, 28/297 quickly i.e. 22680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/19, 20/10, 72/49, 28/297 is 22680.

LCM(81/19, 20/10, 72/49, 28/297) = 22680

LCM of 81/19, 20/10, 72/49, 28/297

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 81/19,20/10,72/49,28/297

Given numbers are 81/19,20/10,72/49,28/297

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 81,20,72,28

Least Common Multiple of Numerators i.e. LCM of 81,20,72,28 is 22680.

GCF of Denominators means GCF of 19,10,49,297 as per the given fractions.

GCF of 19,10,49,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,20,72,28

LCM of Fractions 81/19,20/10,72/49,28/297 is 22680

2 81, 20, 72, 28
2 81, 10, 36, 14
3 81, 5, 18, 7
3 27, 5, 6, 7
9, 5, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 9 x 5 x 2 x 7 = 22680

Least Common Multiple of 81,20,72,28 with GCF Formula

Least Common Multiple of 81,20,72,28 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 81,20,72,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,20,72,28) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(81,20,72,28) x common factors =1 x 144 = 144

LCM(81,20,72,28) = ( 81 × 20 × 72 × 28 ) / 144

LCM(81,20,72,28) = 3265920 / 144

LCM(81,20,72,28) = 22680


Lets's calculate GCF of 19,10,49,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22680/1

Therefore the LCM of Fractions 81/19,20/10,72/49,28/297 is 22680

Greatest Common Factor of 19,10,49,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,10,49,297 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 19,10,49,297 . The biggest common factor number is the GCF number.
So the greatest common factor 19,10,49,297 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 81/19, 20/10, 72/49, 28/297

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 81/19, 20/10, 72/49, 28/297?

Answer: LCM of Numerators as per given numbers 81/19, 20/10, 72/49, 28/297 is

LCM of Numerators i.e. for 81,20,72,28 is 22680

GCF of denominators i.e. for 19,10,49,297 is 1.

Thus, LCM of Fractions is 22680.Finally, LCM of Fractions for 81/19, 20/10, 72/49, 28/297 is 22680.