Least Common Multiple of 72/134, 71/255, 559/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/134, 71/255, 559/243 quickly i.e. 2857608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/134, 71/255, 559/243 is 2857608.

LCM(72/134, 71/255, 559/243) = 2857608

LCM of 72/134, 71/255, 559/243

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 72/134,71/255,559/243

Given numbers are 72/134,71/255,559/243

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 72,71,559

Least Common Multiple of Numerators i.e. LCM of 72,71,559 is 2857608.

GCF of Denominators means GCF of 134,255,243 as per the given fractions.

GCF of 134,255,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,71,559

LCM of Fractions 72/134,71/255,559/243 is 2857608

Given numbers has no common factors except 1. So, there LCM is their product i.e 2857608

Least Common Multiple of 72,71,559 with GCF Formula

Least Common Multiple of 72,71,559 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 72,71,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,71,559) = 1

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

GCF(72,71,559) x common factors =1 x 1 = 1

LCM(72,71,559) = ( 72 × 71 × 559 ) / 1

LCM(72,71,559) = 2857608 / 1

LCM(72,71,559) = 2857608


Lets's calculate GCF of 134,255,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2857608/1

Therefore the LCM of Fractions 72/134,71/255,559/243 is 2857608

Greatest Common Factor of 134,255,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,255,243 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 134,255,243 . The biggest common factor number is the GCF number.
So the greatest common factor 134,255,243 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 72/134, 71/255, 559/243

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 72/134, 71/255, 559/243?

Answer: LCM of Numerators as per given numbers 72/134, 71/255, 559/243 is

LCM of Numerators i.e. for 72,71,559 is 2857608

GCF of denominators i.e. for 134,255,243 is 1.

Thus, LCM of Fractions is 2857608.Finally, LCM of Fractions for 72/134, 71/255, 559/243 is 2857608.