Least Common Multiple of 72/331, 57/101, 521/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/331, 57/101, 521/433 quickly i.e. 712728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/331, 57/101, 521/433 is 712728.

LCM(72/331, 57/101, 521/433) = 712728

LCM of 72/331, 57/101, 521/433

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 72/331,57/101,521/433

Given numbers are 72/331,57/101,521/433

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 72,57,521

Least Common Multiple of Numerators i.e. LCM of 72,57,521 is 712728.

GCF of Denominators means GCF of 331,101,433 as per the given fractions.

GCF of 331,101,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,57,521

LCM of Fractions 72/331,57/101,521/433 is 712728

3 72, 57, 521
24, 19, 521

∴ So the LCM of the given numbers is 3 x 24 x 19 x 521 = 712728

Least Common Multiple of 72,57,521 with GCF Formula

Least Common Multiple of 72,57,521 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 72,57,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,57,521) = 1

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

GCF(72,57,521) x common factors =1 x 3 = 3

LCM(72,57,521) = ( 72 × 57 × 521 ) / 3

LCM(72,57,521) = 2138184 / 3

LCM(72,57,521) = 712728


Lets's calculate GCF of 331,101,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712728/1

Therefore the LCM of Fractions 72/331,57/101,521/433 is 712728

Greatest Common Factor of 331,101,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,101,433 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 331,101,433 . The biggest common factor number is the GCF number.
So the greatest common factor 331,101,433 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/331, 57/101, 521/433

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 72/331, 57/101, 521/433?

Answer: LCM of Numerators as per given numbers 72/331, 57/101, 521/433 is

LCM of Numerators i.e. for 72,57,521 is 712728

GCF of denominators i.e. for 331,101,433 is 1.

Thus, LCM of Fractions is 712728.Finally, LCM of Fractions for 72/331, 57/101, 521/433 is 712728.