Least Common Multiple of 96/173, 59/139, 356/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/173, 59/139, 356/269 quickly i.e. 504096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/173, 59/139, 356/269 is 504096.

LCM(96/173, 59/139, 356/269) = 504096

LCM of 96/173, 59/139, 356/269

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 96/173,59/139,356/269

Given numbers are 96/173,59/139,356/269

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 96,59,356

Least Common Multiple of Numerators i.e. LCM of 96,59,356 is 504096.

GCF of Denominators means GCF of 173,139,269 as per the given fractions.

GCF of 173,139,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,59,356

LCM of Fractions 96/173,59/139,356/269 is 504096

2 96, 59, 356
2 48, 59, 178
24, 59, 89

∴ So the LCM of the given numbers is 2 x 2 x 24 x 59 x 89 = 504096

Least Common Multiple of 96,59,356 with GCF Formula

Least Common Multiple of 96,59,356 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 96,59,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,59,356) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(96,59,356) x common factors =1 x 4 = 4

LCM(96,59,356) = ( 96 × 59 × 356 ) / 4

LCM(96,59,356) = 2016384 / 4

LCM(96,59,356) = 504096


Lets's calculate GCF of 173,139,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504096/1

Therefore the LCM of Fractions 96/173,59/139,356/269 is 504096

Greatest Common Factor of 173,139,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,139,269 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 139

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

1,139

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 173,139,269 . The biggest common factor number is the GCF number.
So the greatest common factor 173,139,269 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 96/173, 59/139, 356/269

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 96/173, 59/139, 356/269?

Answer: LCM of Numerators as per given numbers 96/173, 59/139, 356/269 is

LCM of Numerators i.e. for 96,59,356 is 504096

GCF of denominators i.e. for 173,139,269 is 1.

Thus, LCM of Fractions is 504096.Finally, LCM of Fractions for 96/173, 59/139, 356/269 is 504096.