Least Common Multiple of 205/387, 6865/6117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/387, 6865/6117 quickly i.e. 281465/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/387, 6865/6117 is 281465/3.

LCM(205/387, 6865/6117) = 281465/3

LCM of 205/387, 6865/6117

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 205/387,6865/6117

Given numbers are 205/387,6865/6117

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 205,6865

Least Common Multiple of Numerators i.e. LCM of 205,6865 is 281465.

GCF of Denominators means GCF of 387,6117 as per the given fractions.

GCF of 387,6117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,6865

LCM of Fractions 205/387,6865/6117 is 281465/3

5 205, 6865
41, 1373

∴ So the LCM of the given numbers is 5 x 41 x 1373 = 281465

Least Common Multiple of 205,6865 with GCF Formula

Least Common Multiple of 205,6865 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 205,6865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,6865) = 5

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

GCF(205,6865) x common factors =5 x 1 = 5

LCM(205,6865) = ( 205 × 6865 ) / 5

LCM(205,6865) = 1407325 / 5

LCM(205,6865) = 281465


Lets's calculate GCF of 387,6117

3 387, 6117
129, 2039

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281465/3

Therefore the LCM of Fractions 205/387,6865/6117 is 281465/3

Greatest Common Factor of 387,6117 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,6117 By Matching Biggest Common Factor Method

Factors of 387

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

1,3,9,43,129,387

Factors of 6117

List of positive integer factors of 6117 that divides 6117 without a remainder.

1,3,2039,6117

Greatest Common Factor

We found the factors 387,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 387,6117 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 205/387, 6865/6117

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 205/387, 6865/6117?

Answer: LCM of Numerators as per given numbers 205/387, 6865/6117 is

LCM of Numerators i.e. for 205,6865 is 281465

GCF of denominators i.e. for 387,6117 is 3.

Thus, LCM of Fractions is 281465/3.Finally, LCM of Fractions for 205/387, 6865/6117 is 281465/3.