Least Common Multiple of 645/204, 565/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/204, 565/387 quickly i.e. 24295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/204, 565/387 is 24295.

LCM(645/204, 565/387) = 24295

LCM of 645/204, 565/387

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 645/204,565/387

Given numbers are 645/204,565/387

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 645,565

Least Common Multiple of Numerators i.e. LCM of 645,565 is 72885.

GCF of Denominators means GCF of 204,387 as per the given fractions.

GCF of 204,387 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,565

LCM of Fractions 645/204,565/387 is 24295

5 645, 565
129, 113

∴ So the LCM of the given numbers is 5 x 129 x 113 = 72885

Least Common Multiple of 645,565 with GCF Formula

Least Common Multiple of 645,565 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 645,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,565) = 5

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

GCF(645,565) x common factors =5 x 1 = 5

LCM(645,565) = ( 645 × 565 ) / 5

LCM(645,565) = 364425 / 5

LCM(645,565) = 72885


Lets's calculate GCF of 204,387

3 204, 387
68, 129

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72885/3

Therefore the LCM of Fractions 645/204,565/387 is 24295

Greatest Common Factor of 204,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,387 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 204,387 . The biggest common factor number is the GCF number.
So the greatest common factor 204,387 is 3.


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 645/204, 565/387

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 645/204, 565/387?

Answer: LCM of Numerators as per given numbers 645/204, 565/387 is

LCM of Numerators i.e. for 645,565 is 72885

GCF of denominators i.e. for 204,387 is 3.

Thus, LCM of Fractions is 24295.Finally, LCM of Fractions for 645/204, 565/387 is 24295.