Least Common Multiple of 8507/161, 5270/4301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8507/161, 5270/4301 quickly i.e. 44831890/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8507/161, 5270/4301 is 44831890/23.

LCM(8507/161, 5270/4301) = 44831890/23

LCM of 8507/161, 5270/4301

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 8507/161,5270/4301

Given numbers are 8507/161,5270/4301

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 8507,5270

Least Common Multiple of Numerators i.e. LCM of 8507,5270 is 44831890.

GCF of Denominators means GCF of 161,4301 as per the given fractions.

GCF of 161,4301 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8507,5270

LCM of Fractions 8507/161,5270/4301 is 44831890/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 44831890

Least Common Multiple of 8507,5270 with GCF Formula

Least Common Multiple of 8507,5270 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 8507,5270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8507,5270) = 1

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

GCF(8507,5270) x common factors =1 x 1 = 1

LCM(8507,5270) = ( 8507 × 5270 ) / 1

LCM(8507,5270) = 44831890 / 1

LCM(8507,5270) = 44831890


Lets's calculate GCF of 161,4301

23 161, 4301
7, 187

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44831890/23

Therefore the LCM of Fractions 8507/161,5270/4301 is 44831890/23

Greatest Common Factor of 161,4301 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,4301 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 4301

List of positive integer factors of 4301 that divides 4301 without a remainder.

1,11,17,23,187,253,391,4301

Greatest Common Factor

We found the factors 161,4301 . The biggest common factor number is the GCF number.
So the greatest common factor 161,4301 is 23.


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 8507/161, 5270/4301

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 8507/161, 5270/4301?

Answer: LCM of Numerators as per given numbers 8507/161, 5270/4301 is

LCM of Numerators i.e. for 8507,5270 is 44831890

GCF of denominators i.e. for 161,4301 is 23.

Thus, LCM of Fractions is 44831890/23.Finally, LCM of Fractions for 8507/161, 5270/4301 is 44831890/23.