Least Common Multiple of 5509/512, 8121/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5509/512, 8121/583 quickly i.e. 44738589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5509/512, 8121/583 is 44738589.

LCM(5509/512, 8121/583) = 44738589

LCM of 5509/512, 8121/583

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 5509/512,8121/583

Given numbers are 5509/512,8121/583

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 5509,8121

Least Common Multiple of Numerators i.e. LCM of 5509,8121 is 44738589.

GCF of Denominators means GCF of 512,583 as per the given fractions.

GCF of 512,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5509,8121

LCM of Fractions 5509/512,8121/583 is 44738589

Given numbers has no common factors except 1. So, there LCM is their product i.e 44738589

Least Common Multiple of 5509,8121 with GCF Formula

Least Common Multiple of 5509,8121 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 5509,8121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5509,8121) = 1

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

GCF(5509,8121) x common factors =1 x 1 = 1

LCM(5509,8121) = ( 5509 × 8121 ) / 1

LCM(5509,8121) = 44738589 / 1

LCM(5509,8121) = 44738589


Lets's calculate GCF of 512,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44738589/1

Therefore the LCM of Fractions 5509/512,8121/583 is 44738589

Greatest Common Factor of 512,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,583 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 512,583 . The biggest common factor number is the GCF number.
So the greatest common factor 512,583 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 5509/512, 8121/583

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 5509/512, 8121/583?

Answer: LCM of Numerators as per given numbers 5509/512, 8121/583 is

LCM of Numerators i.e. for 5509,8121 is 44738589

GCF of denominators i.e. for 512,583 is 1.

Thus, LCM of Fractions is 44738589.Finally, LCM of Fractions for 5509/512, 8121/583 is 44738589.