Least Common Multiple of 231/25, 796/83, 909/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 231/25, 796/83, 909/256 quickly i.e. 55714428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 231/25, 796/83, 909/256 is 55714428.

LCM(231/25, 796/83, 909/256) = 55714428

LCM of 231/25, 796/83, 909/256

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 231/25,796/83,909/256

Given numbers are 231/25,796/83,909/256

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 231,796,909

Least Common Multiple of Numerators i.e. LCM of 231,796,909 is 55714428.

GCF of Denominators means GCF of 25,83,256 as per the given fractions.

GCF of 25,83,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 231,796,909

LCM of Fractions 231/25,796/83,909/256 is 55714428

3 231, 796, 909
77, 796, 303

∴ So the LCM of the given numbers is 3 x 77 x 796 x 303 = 55714428

Least Common Multiple of 231,796,909 with GCF Formula

Least Common Multiple of 231,796,909 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 231,796,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,796,909) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(231,796,909) x common factors =1 x 3 = 3

LCM(231,796,909) = ( 231 × 796 × 909 ) / 3

LCM(231,796,909) = 167143284 / 3

LCM(231,796,909) = 55714428


Lets's calculate GCF of 25,83,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55714428/1

Therefore the LCM of Fractions 231/25,796/83,909/256 is 55714428

Greatest Common Factor of 25,83,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,83,256 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 25,83,256 . The biggest common factor number is the GCF number.
So the greatest common factor 25,83,256 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 231/25, 796/83, 909/256

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 231/25, 796/83, 909/256?

Answer: LCM of Numerators as per given numbers 231/25, 796/83, 909/256 is

LCM of Numerators i.e. for 231,796,909 is 55714428

GCF of denominators i.e. for 25,83,256 is 1.

Thus, LCM of Fractions is 55714428.Finally, LCM of Fractions for 231/25, 796/83, 909/256 is 55714428.