Least Common Multiple of 81/89, 16/40, 149/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/89, 16/40, 149/721 quickly i.e. 193104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/89, 16/40, 149/721 is 193104.

LCM(81/89, 16/40, 149/721) = 193104

LCM of 81/89, 16/40, 149/721

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 81/89,16/40,149/721

Given numbers are 81/89,16/40,149/721

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 81,16,149

Least Common Multiple of Numerators i.e. LCM of 81,16,149 is 193104.

GCF of Denominators means GCF of 89,40,721 as per the given fractions.

GCF of 89,40,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,16,149

LCM of Fractions 81/89,16/40,149/721 is 193104

Given numbers has no common factors except 1. So, there LCM is their product i.e 193104

Least Common Multiple of 81,16,149 with GCF Formula

Least Common Multiple of 81,16,149 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 81,16,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,16,149) = 1

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

GCF(81,16,149) x common factors =1 x 1 = 1

LCM(81,16,149) = ( 81 × 16 × 149 ) / 1

LCM(81,16,149) = 193104 / 1

LCM(81,16,149) = 193104


Lets's calculate GCF of 89,40,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193104/1

Therefore the LCM of Fractions 81/89,16/40,149/721 is 193104

Greatest Common Factor of 89,40,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,40,721 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 89,40,721 . The biggest common factor number is the GCF number.
So the greatest common factor 89,40,721 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 81/89, 16/40, 149/721

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 81/89, 16/40, 149/721?

Answer: LCM of Numerators as per given numbers 81/89, 16/40, 149/721 is

LCM of Numerators i.e. for 81,16,149 is 193104

GCF of denominators i.e. for 89,40,721 is 1.

Thus, LCM of Fractions is 193104.Finally, LCM of Fractions for 81/89, 16/40, 149/721 is 193104.