Least Common Multiple of 96/233, 56/139, 903/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/233, 56/139, 903/538 quickly i.e. 28896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/233, 56/139, 903/538 is 28896.

LCM(96/233, 56/139, 903/538) = 28896

LCM of 96/233, 56/139, 903/538

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 96/233,56/139,903/538

Given numbers are 96/233,56/139,903/538

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 96,56,903

Least Common Multiple of Numerators i.e. LCM of 96,56,903 is 28896.

GCF of Denominators means GCF of 233,139,538 as per the given fractions.

GCF of 233,139,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,56,903

LCM of Fractions 96/233,56/139,903/538 is 28896

2 96, 56, 903
2 48, 28, 903
2 24, 14, 903
3 12, 7, 903
7 4, 7, 301
4, 1, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 4 x 1 x 43 = 28896

Least Common Multiple of 96,56,903 with GCF Formula

Least Common Multiple of 96,56,903 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 96,56,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,56,903) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(96,56,903) x common factors =1 x 168 = 168

LCM(96,56,903) = ( 96 × 56 × 903 ) / 168

LCM(96,56,903) = 4854528 / 168

LCM(96,56,903) = 28896


Lets's calculate GCF of 233,139,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28896/1

Therefore the LCM of Fractions 96/233,56/139,903/538 is 28896

Greatest Common Factor of 233,139,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,139,538 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 233,139,538 . The biggest common factor number is the GCF number.
So the greatest common factor 233,139,538 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 96/233, 56/139, 903/538

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 96/233, 56/139, 903/538?

Answer: LCM of Numerators as per given numbers 96/233, 56/139, 903/538 is

LCM of Numerators i.e. for 96,56,903 is 28896

GCF of denominators i.e. for 233,139,538 is 1.

Thus, LCM of Fractions is 28896.Finally, LCM of Fractions for 96/233, 56/139, 903/538 is 28896.