Least Common Multiple of 564/605, 575/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/605, 575/789 quickly i.e. 324300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/605, 575/789 is 324300.

LCM(564/605, 575/789) = 324300

LCM of 564/605, 575/789

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 564/605,575/789

Given numbers are 564/605,575/789

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 564,575

Least Common Multiple of Numerators i.e. LCM of 564,575 is 324300.

GCF of Denominators means GCF of 605,789 as per the given fractions.

GCF of 605,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,575

LCM of Fractions 564/605,575/789 is 324300

Given numbers has no common factors except 1. So, there LCM is their product i.e 324300

Least Common Multiple of 564,575 with GCF Formula

Least Common Multiple of 564,575 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 564,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,575) = 1

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

GCF(564,575) x common factors =1 x 1 = 1

LCM(564,575) = ( 564 × 575 ) / 1

LCM(564,575) = 324300 / 1

LCM(564,575) = 324300


Lets's calculate GCF of 605,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324300/1

Therefore the LCM of Fractions 564/605,575/789 is 324300

Greatest Common Factor of 605,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,789 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

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 605,789 . The biggest common factor number is the GCF number.
So the greatest common factor 605,789 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 564/605, 575/789

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 564/605, 575/789?

Answer: LCM of Numerators as per given numbers 564/605, 575/789 is

LCM of Numerators i.e. for 564,575 is 324300

GCF of denominators i.e. for 605,789 is 1.

Thus, LCM of Fractions is 324300.Finally, LCM of Fractions for 564/605, 575/789 is 324300.