Least Common Multiple of 254/31, 789/94, 233/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/31, 789/94, 233/580 quickly i.e. 46694598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/31, 789/94, 233/580 is 46694598.

LCM(254/31, 789/94, 233/580) = 46694598

LCM of 254/31, 789/94, 233/580

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 254/31,789/94,233/580

Given numbers are 254/31,789/94,233/580

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 254,789,233

Least Common Multiple of Numerators i.e. LCM of 254,789,233 is 46694598.

GCF of Denominators means GCF of 31,94,580 as per the given fractions.

GCF of 31,94,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,789,233

LCM of Fractions 254/31,789/94,233/580 is 46694598

Given numbers has no common factors except 1. So, there LCM is their product i.e 46694598

Least Common Multiple of 254,789,233 with GCF Formula

Least Common Multiple of 254,789,233 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 254,789,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,789,233) = 1

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

GCF(254,789,233) x common factors =1 x 1 = 1

LCM(254,789,233) = ( 254 × 789 × 233 ) / 1

LCM(254,789,233) = 46694598 / 1

LCM(254,789,233) = 46694598


Lets's calculate GCF of 31,94,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46694598/1

Therefore the LCM of Fractions 254/31,789/94,233/580 is 46694598

Greatest Common Factor of 31,94,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,94,580 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 31,94,580 . The biggest common factor number is the GCF number.
So the greatest common factor 31,94,580 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 254/31, 789/94, 233/580

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 254/31, 789/94, 233/580?

Answer: LCM of Numerators as per given numbers 254/31, 789/94, 233/580 is

LCM of Numerators i.e. for 254,789,233 is 46694598

GCF of denominators i.e. for 31,94,580 is 1.

Thus, LCM of Fractions is 46694598.Finally, LCM of Fractions for 254/31, 789/94, 233/580 is 46694598.