Least Common Multiple of 72/75, 447/73, 337/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/75, 447/73, 337/255 quickly i.e. 3615336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/75, 447/73, 337/255 is 3615336.

LCM(72/75, 447/73, 337/255) = 3615336

LCM of 72/75, 447/73, 337/255

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 72/75,447/73,337/255

Given numbers are 72/75,447/73,337/255

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 72,447,337

Least Common Multiple of Numerators i.e. LCM of 72,447,337 is 3615336.

GCF of Denominators means GCF of 75,73,255 as per the given fractions.

GCF of 75,73,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,447,337

LCM of Fractions 72/75,447/73,337/255 is 3615336

3 72, 447, 337
24, 149, 337

∴ So the LCM of the given numbers is 3 x 24 x 149 x 337 = 3615336

Least Common Multiple of 72,447,337 with GCF Formula

Least Common Multiple of 72,447,337 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 72,447,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,447,337) = 1

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

GCF(72,447,337) x common factors =1 x 3 = 3

LCM(72,447,337) = ( 72 × 447 × 337 ) / 3

LCM(72,447,337) = 10846008 / 3

LCM(72,447,337) = 3615336


Lets's calculate GCF of 75,73,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3615336/1

Therefore the LCM of Fractions 72/75,447/73,337/255 is 3615336

Greatest Common Factor of 75,73,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,73,255 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 255

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

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

Greatest Common Factor

We found the factors 75,73,255 . The biggest common factor number is the GCF number.
So the greatest common factor 75,73,255 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 72/75, 447/73, 337/255

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 72/75, 447/73, 337/255?

Answer: LCM of Numerators as per given numbers 72/75, 447/73, 337/255 is

LCM of Numerators i.e. for 72,447,337 is 3615336

GCF of denominators i.e. for 75,73,255 is 1.

Thus, LCM of Fractions is 3615336.Finally, LCM of Fractions for 72/75, 447/73, 337/255 is 3615336.