Least Common Multiple of 989/19, 133/10, 289/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/19, 133/10, 289/81 quickly i.e. 38014193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/19, 133/10, 289/81 is 38014193.

LCM(989/19, 133/10, 289/81) = 38014193

LCM of 989/19, 133/10, 289/81

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 989/19,133/10,289/81

Given numbers are 989/19,133/10,289/81

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 989,133,289

Least Common Multiple of Numerators i.e. LCM of 989,133,289 is 38014193.

GCF of Denominators means GCF of 19,10,81 as per the given fractions.

GCF of 19,10,81 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,133,289

LCM of Fractions 989/19,133/10,289/81 is 38014193

Given numbers has no common factors except 1. So, there LCM is their product i.e 38014193

Least Common Multiple of 989,133,289 with GCF Formula

Least Common Multiple of 989,133,289 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 989,133,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,133,289) = 1

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

GCF(989,133,289) x common factors =1 x 1 = 1

LCM(989,133,289) = ( 989 × 133 × 289 ) / 1

LCM(989,133,289) = 38014193 / 1

LCM(989,133,289) = 38014193


Lets's calculate GCF of 19,10,81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38014193/1

Therefore the LCM of Fractions 989/19,133/10,289/81 is 38014193

Greatest Common Factor of 19,10,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,10,81 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 19,10,81 . The biggest common factor number is the GCF number.
So the greatest common factor 19,10,81 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 989/19, 133/10, 289/81

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 989/19, 133/10, 289/81?

Answer: LCM of Numerators as per given numbers 989/19, 133/10, 289/81 is

LCM of Numerators i.e. for 989,133,289 is 38014193

GCF of denominators i.e. for 19,10,81 is 1.

Thus, LCM of Fractions is 38014193.Finally, LCM of Fractions for 989/19, 133/10, 289/81 is 38014193.