Least Common Multiple of 205/813, 2793/6138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/813, 2793/6138 quickly i.e. 190855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/813, 2793/6138 is 190855.

LCM(205/813, 2793/6138) = 190855

LCM of 205/813, 2793/6138

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 205/813,2793/6138

Given numbers are 205/813,2793/6138

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 205,2793

Least Common Multiple of Numerators i.e. LCM of 205,2793 is 572565.

GCF of Denominators means GCF of 813,6138 as per the given fractions.

GCF of 813,6138 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,2793

LCM of Fractions 205/813,2793/6138 is 190855

Given numbers has no common factors except 1. So, there LCM is their product i.e 572565

Least Common Multiple of 205,2793 with GCF Formula

Least Common Multiple of 205,2793 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 205,2793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,2793) = 1

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

GCF(205,2793) x common factors =1 x 1 = 1

LCM(205,2793) = ( 205 × 2793 ) / 1

LCM(205,2793) = 572565 / 1

LCM(205,2793) = 572565


Lets's calculate GCF of 813,6138

3 813, 6138
271, 2046

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572565/3

Therefore the LCM of Fractions 205/813,2793/6138 is 190855

Greatest Common Factor of 813,6138 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,6138 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138

Greatest Common Factor

We found the factors 813,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 813,6138 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 205/813, 2793/6138

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 205/813, 2793/6138?

Answer: LCM of Numerators as per given numbers 205/813, 2793/6138 is

LCM of Numerators i.e. for 205,2793 is 572565

GCF of denominators i.e. for 813,6138 is 3.

Thus, LCM of Fractions is 190855.Finally, LCM of Fractions for 205/813, 2793/6138 is 190855.