Least Common Multiple of 8258/50, 5281/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8258/50, 5281/464 quickly i.e. 21805249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8258/50, 5281/464 is 21805249.

LCM(8258/50, 5281/464) = 21805249

LCM of 8258/50, 5281/464

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 8258/50,5281/464

Given numbers are 8258/50,5281/464

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 8258,5281

Least Common Multiple of Numerators i.e. LCM of 8258,5281 is 43610498.

GCF of Denominators means GCF of 50,464 as per the given fractions.

GCF of 50,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8258,5281

LCM of Fractions 8258/50,5281/464 is 21805249

Given numbers has no common factors except 1. So, there LCM is their product i.e 43610498

Least Common Multiple of 8258,5281 with GCF Formula

Least Common Multiple of 8258,5281 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 8258,5281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8258,5281) = 1

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

GCF(8258,5281) x common factors =1 x 1 = 1

LCM(8258,5281) = ( 8258 × 5281 ) / 1

LCM(8258,5281) = 43610498 / 1

LCM(8258,5281) = 43610498


Lets's calculate GCF of 50,464

2 50, 464
25, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43610498/2

Therefore the LCM of Fractions 8258/50,5281/464 is 21805249

Greatest Common Factor of 50,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,464 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 50,464 . The biggest common factor number is the GCF number.
So the greatest common factor 50,464 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 8258/50, 5281/464

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 8258/50, 5281/464?

Answer: LCM of Numerators as per given numbers 8258/50, 5281/464 is

LCM of Numerators i.e. for 8258,5281 is 43610498

GCF of denominators i.e. for 50,464 is 2.

Thus, LCM of Fractions is 21805249.Finally, LCM of Fractions for 8258/50, 5281/464 is 21805249.