Least Common Multiple of 589/77, 523/9327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/77, 523/9327 quickly i.e. 308047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/77, 523/9327 is 308047.

LCM(589/77, 523/9327) = 308047

LCM of 589/77, 523/9327

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 589/77,523/9327

Given numbers are 589/77,523/9327

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 589,523

Least Common Multiple of Numerators i.e. LCM of 589,523 is 308047.

GCF of Denominators means GCF of 77,9327 as per the given fractions.

GCF of 77,9327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,523

LCM of Fractions 589/77,523/9327 is 308047

Given numbers has no common factors except 1. So, there LCM is their product i.e 308047

Least Common Multiple of 589,523 with GCF Formula

Least Common Multiple of 589,523 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 589,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,523) = 1

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

GCF(589,523) x common factors =1 x 1 = 1

LCM(589,523) = ( 589 × 523 ) / 1

LCM(589,523) = 308047 / 1

LCM(589,523) = 308047


Lets's calculate GCF of 77,9327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308047/1

Therefore the LCM of Fractions 589/77,523/9327 is 308047

Greatest Common Factor of 77,9327 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,9327 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 9327

List of positive integer factors of 9327 that divides 9327 without a remainder.

1,3,3109,9327

Greatest Common Factor

We found the factors 77,9327 . The biggest common factor number is the GCF number.
So the greatest common factor 77,9327 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 589/77, 523/9327

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 589/77, 523/9327?

Answer: LCM of Numerators as per given numbers 589/77, 523/9327 is

LCM of Numerators i.e. for 589,523 is 308047

GCF of denominators i.e. for 77,9327 is 1.

Thus, LCM of Fractions is 308047.Finally, LCM of Fractions for 589/77, 523/9327 is 308047.