Least Common Multiple of 6509/80, 8247/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6509/80, 8247/425 quickly i.e. 53679723/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6509/80, 8247/425 is 53679723/5.

LCM(6509/80, 8247/425) = 53679723/5

LCM of 6509/80, 8247/425

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 6509/80,8247/425

Given numbers are 6509/80,8247/425

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 6509,8247

Least Common Multiple of Numerators i.e. LCM of 6509,8247 is 53679723.

GCF of Denominators means GCF of 80,425 as per the given fractions.

GCF of 80,425 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6509,8247

LCM of Fractions 6509/80,8247/425 is 53679723/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 53679723

Least Common Multiple of 6509,8247 with GCF Formula

Least Common Multiple of 6509,8247 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 6509,8247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6509,8247) = 1

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

GCF(6509,8247) x common factors =1 x 1 = 1

LCM(6509,8247) = ( 6509 × 8247 ) / 1

LCM(6509,8247) = 53679723 / 1

LCM(6509,8247) = 53679723


Lets's calculate GCF of 80,425

5 80, 425
16, 85

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53679723/5

Therefore the LCM of Fractions 6509/80,8247/425 is 53679723/5

Greatest Common Factor of 80,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,425 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 80,425 . The biggest common factor number is the GCF number.
So the greatest common factor 80,425 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6509/80, 8247/425

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 6509/80, 8247/425?

Answer: LCM of Numerators as per given numbers 6509/80, 8247/425 is

LCM of Numerators i.e. for 6509,8247 is 53679723

GCF of denominators i.e. for 80,425 is 5.

Thus, LCM of Fractions is 53679723/5.Finally, LCM of Fractions for 6509/80, 8247/425 is 53679723/5.