Least Common Multiple of 5069/131, 8005/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5069/131, 8005/721 quickly i.e. 40577345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5069/131, 8005/721 is 40577345.

LCM(5069/131, 8005/721) = 40577345

LCM of 5069/131, 8005/721

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 5069/131,8005/721

Given numbers are 5069/131,8005/721

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 5069,8005

Least Common Multiple of Numerators i.e. LCM of 5069,8005 is 40577345.

GCF of Denominators means GCF of 131,721 as per the given fractions.

GCF of 131,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5069,8005

LCM of Fractions 5069/131,8005/721 is 40577345

Given numbers has no common factors except 1. So, there LCM is their product i.e 40577345

Least Common Multiple of 5069,8005 with GCF Formula

Least Common Multiple of 5069,8005 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 5069,8005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5069,8005) = 1

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

GCF(5069,8005) x common factors =1 x 1 = 1

LCM(5069,8005) = ( 5069 × 8005 ) / 1

LCM(5069,8005) = 40577345 / 1

LCM(5069,8005) = 40577345


Lets's calculate GCF of 131,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40577345/1

Therefore the LCM of Fractions 5069/131,8005/721 is 40577345

Greatest Common Factor of 131,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,721 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 131,721 . The biggest common factor number is the GCF number.
So the greatest common factor 131,721 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5069/131, 8005/721

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 5069/131, 8005/721?

Answer: LCM of Numerators as per given numbers 5069/131, 8005/721 is

LCM of Numerators i.e. for 5069,8005 is 40577345

GCF of denominators i.e. for 131,721 is 1.

Thus, LCM of Fractions is 40577345.Finally, LCM of Fractions for 5069/131, 8005/721 is 40577345.