Least Common Multiple of 6569/57, 8889/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6569/57, 8889/589 quickly i.e. 58391841/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6569/57, 8889/589 is 58391841/19.

LCM(6569/57, 8889/589) = 58391841/19

LCM of 6569/57, 8889/589

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 6569/57,8889/589

Given numbers are 6569/57,8889/589

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 6569,8889

Least Common Multiple of Numerators i.e. LCM of 6569,8889 is 58391841.

GCF of Denominators means GCF of 57,589 as per the given fractions.

GCF of 57,589 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6569,8889

LCM of Fractions 6569/57,8889/589 is 58391841/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 58391841

Least Common Multiple of 6569,8889 with GCF Formula

Least Common Multiple of 6569,8889 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 6569,8889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6569,8889) = 1

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

GCF(6569,8889) x common factors =1 x 1 = 1

LCM(6569,8889) = ( 6569 × 8889 ) / 1

LCM(6569,8889) = 58391841 / 1

LCM(6569,8889) = 58391841


Lets's calculate GCF of 57,589

19 57, 589
3, 31

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58391841/19

Therefore the LCM of Fractions 6569/57,8889/589 is 58391841/19

Greatest Common Factor of 57,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,589 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 57,589 . The biggest common factor number is the GCF number.
So the greatest common factor 57,589 is 19.


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 6569/57, 8889/589

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 6569/57, 8889/589?

Answer: LCM of Numerators as per given numbers 6569/57, 8889/589 is

LCM of Numerators i.e. for 6569,8889 is 58391841

GCF of denominators i.e. for 57,589 is 19.

Thus, LCM of Fractions is 58391841/19.Finally, LCM of Fractions for 6569/57, 8889/589 is 58391841/19.