Least Common Multiple of 217/509, 981/899, 134/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/509, 981/899, 134/289 quickly i.e. 28525518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/509, 981/899, 134/289 is 28525518.

LCM(217/509, 981/899, 134/289) = 28525518

LCM of 217/509, 981/899, 134/289

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 217/509,981/899,134/289

Given numbers are 217/509,981/899,134/289

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 217,981,134

Least Common Multiple of Numerators i.e. LCM of 217,981,134 is 28525518.

GCF of Denominators means GCF of 509,899,289 as per the given fractions.

GCF of 509,899,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,981,134

LCM of Fractions 217/509,981/899,134/289 is 28525518

Given numbers has no common factors except 1. So, there LCM is their product i.e 28525518

Least Common Multiple of 217,981,134 with GCF Formula

Least Common Multiple of 217,981,134 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 217,981,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,981,134) = 1

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

GCF(217,981,134) x common factors =1 x 1 = 1

LCM(217,981,134) = ( 217 × 981 × 134 ) / 1

LCM(217,981,134) = 28525518 / 1

LCM(217,981,134) = 28525518


Lets's calculate GCF of 509,899,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28525518/1

Therefore the LCM of Fractions 217/509,981/899,134/289 is 28525518

Greatest Common Factor of 509,899,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,899,289 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 509,899,289 . The biggest common factor number is the GCF number.
So the greatest common factor 509,899,289 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 217/509, 981/899, 134/289

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 217/509, 981/899, 134/289?

Answer: LCM of Numerators as per given numbers 217/509, 981/899, 134/289 is

LCM of Numerators i.e. for 217,981,134 is 28525518

GCF of denominators i.e. for 509,899,289 is 1.

Thus, LCM of Fractions is 28525518.Finally, LCM of Fractions for 217/509, 981/899, 134/289 is 28525518.