Least Common Multiple of 976/834, 121/320, 289/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/834, 121/320, 289/118 quickly i.e. 17064872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/834, 121/320, 289/118 is 17064872.

LCM(976/834, 121/320, 289/118) = 17064872

LCM of 976/834, 121/320, 289/118

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 976/834,121/320,289/118

Given numbers are 976/834,121/320,289/118

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 976,121,289

Least Common Multiple of Numerators i.e. LCM of 976,121,289 is 34129744.

GCF of Denominators means GCF of 834,320,118 as per the given fractions.

GCF of 834,320,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,121,289

LCM of Fractions 976/834,121/320,289/118 is 17064872

Given numbers has no common factors except 1. So, there LCM is their product i.e 34129744

Least Common Multiple of 976,121,289 with GCF Formula

Least Common Multiple of 976,121,289 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 976,121,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,121,289) = 1

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

GCF(976,121,289) x common factors =1 x 1 = 1

LCM(976,121,289) = ( 976 × 121 × 289 ) / 1

LCM(976,121,289) = 34129744 / 1

LCM(976,121,289) = 34129744


Lets's calculate GCF of 834,320,118

2 834, 320, 118
417, 160, 59

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34129744/2

Therefore the LCM of Fractions 976/834,121/320,289/118 is 17064872

Greatest Common Factor of 834,320,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,320,118 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 834,320,118 . The biggest common factor number is the GCF number.
So the greatest common factor 834,320,118 is 2.


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 976/834, 121/320, 289/118

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 976/834, 121/320, 289/118?

Answer: LCM of Numerators as per given numbers 976/834, 121/320, 289/118 is

LCM of Numerators i.e. for 976,121,289 is 34129744

GCF of denominators i.e. for 834,320,118 is 2.

Thus, LCM of Fractions is 17064872.Finally, LCM of Fractions for 976/834, 121/320, 289/118 is 17064872.