Least Common Multiple of 8075/500, 4519/8001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8075/500, 4519/8001 quickly i.e. 36490925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8075/500, 4519/8001 is 36490925.

LCM(8075/500, 4519/8001) = 36490925

LCM of 8075/500, 4519/8001

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 8075/500,4519/8001

Given numbers are 8075/500,4519/8001

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 8075,4519

Least Common Multiple of Numerators i.e. LCM of 8075,4519 is 36490925.

GCF of Denominators means GCF of 500,8001 as per the given fractions.

GCF of 500,8001 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8075,4519

LCM of Fractions 8075/500,4519/8001 is 36490925

Given numbers has no common factors except 1. So, there LCM is their product i.e 36490925

Least Common Multiple of 8075,4519 with GCF Formula

Least Common Multiple of 8075,4519 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 8075,4519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8075,4519) = 1

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

GCF(8075,4519) x common factors =1 x 1 = 1

LCM(8075,4519) = ( 8075 × 4519 ) / 1

LCM(8075,4519) = 36490925 / 1

LCM(8075,4519) = 36490925


Lets's calculate GCF of 500,8001

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36490925/1

Therefore the LCM of Fractions 8075/500,4519/8001 is 36490925

Greatest Common Factor of 500,8001 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,8001 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 8001

List of positive integer factors of 8001 that divides 8001 without a remainder.

1,3,7,9,21,63,127,381,889,1143,2667,8001

Greatest Common Factor

We found the factors 500,8001 . The biggest common factor number is the GCF number.
So the greatest common factor 500,8001 is 1.


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 8075/500, 4519/8001

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 8075/500, 4519/8001?

Answer: LCM of Numerators as per given numbers 8075/500, 4519/8001 is

LCM of Numerators i.e. for 8075,4519 is 36490925

GCF of denominators i.e. for 500,8001 is 1.

Thus, LCM of Fractions is 36490925.Finally, LCM of Fractions for 8075/500, 4519/8001 is 36490925.