Least Common Multiple of 5191/27, 8080/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5191/27, 8080/813 quickly i.e. 41943280/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5191/27, 8080/813 is 41943280/3.

LCM(5191/27, 8080/813) = 41943280/3

LCM of 5191/27, 8080/813

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 5191/27,8080/813

Given numbers are 5191/27,8080/813

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 5191,8080

Least Common Multiple of Numerators i.e. LCM of 5191,8080 is 41943280.

GCF of Denominators means GCF of 27,813 as per the given fractions.

GCF of 27,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5191,8080

LCM of Fractions 5191/27,8080/813 is 41943280/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 41943280

Least Common Multiple of 5191,8080 with GCF Formula

Least Common Multiple of 5191,8080 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 5191,8080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5191,8080) = 1

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

GCF(5191,8080) x common factors =1 x 1 = 1

LCM(5191,8080) = ( 5191 × 8080 ) / 1

LCM(5191,8080) = 41943280 / 1

LCM(5191,8080) = 41943280


Lets's calculate GCF of 27,813

3 27, 813
9, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41943280/3

Therefore the LCM of Fractions 5191/27,8080/813 is 41943280/3

Greatest Common Factor of 27,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,813 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 813

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

1,3,271,813

Greatest Common Factor

We found the factors 27,813 . The biggest common factor number is the GCF number.
So the greatest common factor 27,813 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5191/27, 8080/813

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 5191/27, 8080/813?

Answer: LCM of Numerators as per given numbers 5191/27, 8080/813 is

LCM of Numerators i.e. for 5191,8080 is 41943280

GCF of denominators i.e. for 27,813 is 3.

Thus, LCM of Fractions is 41943280/3.Finally, LCM of Fractions for 5191/27, 8080/813 is 41943280/3.