Least Common Multiple of 8243/762, 8530/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8243/762, 8530/500 quickly i.e. 35156395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8243/762, 8530/500 is 35156395.

LCM(8243/762, 8530/500) = 35156395

LCM of 8243/762, 8530/500

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 8243/762,8530/500

Given numbers are 8243/762,8530/500

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 8243,8530

Least Common Multiple of Numerators i.e. LCM of 8243,8530 is 70312790.

GCF of Denominators means GCF of 762,500 as per the given fractions.

GCF of 762,500 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8243,8530

LCM of Fractions 8243/762,8530/500 is 35156395

Given numbers has no common factors except 1. So, there LCM is their product i.e 70312790

Least Common Multiple of 8243,8530 with GCF Formula

Least Common Multiple of 8243,8530 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 8243,8530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8243,8530) = 1

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

GCF(8243,8530) x common factors =1 x 1 = 1

LCM(8243,8530) = ( 8243 × 8530 ) / 1

LCM(8243,8530) = 70312790 / 1

LCM(8243,8530) = 70312790


Lets's calculate GCF of 762,500

2 762, 500
381, 250

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70312790/2

Therefore the LCM of Fractions 8243/762,8530/500 is 35156395

Greatest Common Factor of 762,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,500 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

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

Greatest Common Factor

We found the factors 762,500 . The biggest common factor number is the GCF number.
So the greatest common factor 762,500 is 2.


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 8243/762, 8530/500

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 8243/762, 8530/500?

Answer: LCM of Numerators as per given numbers 8243/762, 8530/500 is

LCM of Numerators i.e. for 8243,8530 is 70312790

GCF of denominators i.e. for 762,500 is 2.

Thus, LCM of Fractions is 35156395.Finally, LCM of Fractions for 8243/762, 8530/500 is 35156395.