Least Common Multiple of 8/289, 93/655, 78/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/289, 93/655, 78/940 quickly i.e. 9672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/289, 93/655, 78/940 is 9672.

LCM(8/289, 93/655, 78/940) = 9672

LCM of 8/289, 93/655, 78/940

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 8/289,93/655,78/940

Given numbers are 8/289,93/655,78/940

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 8,93,78

Least Common Multiple of Numerators i.e. LCM of 8,93,78 is 9672.

GCF of Denominators means GCF of 289,655,940 as per the given fractions.

GCF of 289,655,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,93,78

LCM of Fractions 8/289,93/655,78/940 is 9672

2 8, 93, 78
3 4, 93, 39
4, 31, 13

∴ So the LCM of the given numbers is 2 x 3 x 4 x 31 x 13 = 9672

Least Common Multiple of 8,93,78 with GCF Formula

Least Common Multiple of 8,93,78 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 8,93,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,93,78) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(8,93,78) x common factors =1 x 6 = 6

LCM(8,93,78) = ( 8 × 93 × 78 ) / 6

LCM(8,93,78) = 58032 / 6

LCM(8,93,78) = 9672


Lets's calculate GCF of 289,655,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9672/1

Therefore the LCM of Fractions 8/289,93/655,78/940 is 9672

Greatest Common Factor of 289,655,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,655,940 By Matching Biggest Common Factor Method

Factors of 289

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

1,17,289

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 289,655,940 . The biggest common factor number is the GCF number.
So the greatest common factor 289,655,940 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 8/289, 93/655, 78/940

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 8/289, 93/655, 78/940?

Answer: LCM of Numerators as per given numbers 8/289, 93/655, 78/940 is

LCM of Numerators i.e. for 8,93,78 is 9672

GCF of denominators i.e. for 289,655,940 is 1.

Thus, LCM of Fractions is 9672.Finally, LCM of Fractions for 8/289, 93/655, 78/940 is 9672.