Least Common Multiple of 572/466, 605/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/466, 605/789 quickly i.e. 31460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/466, 605/789 is 31460.

LCM(572/466, 605/789) = 31460

LCM of 572/466, 605/789

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 572/466,605/789

Given numbers are 572/466,605/789

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 572,605

Least Common Multiple of Numerators i.e. LCM of 572,605 is 31460.

GCF of Denominators means GCF of 466,789 as per the given fractions.

GCF of 466,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,605

LCM of Fractions 572/466,605/789 is 31460

11 572, 605
52, 55

∴ So the LCM of the given numbers is 11 x 52 x 55 = 31460

Least Common Multiple of 572,605 with GCF Formula

Least Common Multiple of 572,605 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 572,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,605) = 11

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

GCF(572,605) x common factors =11 x 1 = 11

LCM(572,605) = ( 572 × 605 ) / 11

LCM(572,605) = 346060 / 11

LCM(572,605) = 31460


Lets's calculate GCF of 466,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31460/1

Therefore the LCM of Fractions 572/466,605/789 is 31460

Greatest Common Factor of 466,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,789 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 466,789 . The biggest common factor number is the GCF number.
So the greatest common factor 466,789 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 572/466, 605/789

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 572/466, 605/789?

Answer: LCM of Numerators as per given numbers 572/466, 605/789 is

LCM of Numerators i.e. for 572,605 is 31460

GCF of denominators i.e. for 466,789 is 1.

Thus, LCM of Fractions is 31460.Finally, LCM of Fractions for 572/466, 605/789 is 31460.