Least Common Multiple of 23/529, 8628/5957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/529, 8628/5957 quickly i.e. 8628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/529, 8628/5957 is 8628.

LCM(23/529, 8628/5957) = 8628

LCM of 23/529, 8628/5957

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 23/529,8628/5957

Given numbers are 23/529,8628/5957

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 23,8628

Least Common Multiple of Numerators i.e. LCM of 23,8628 is 198444.

GCF of Denominators means GCF of 529,5957 as per the given fractions.

GCF of 529,5957 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,8628

LCM of Fractions 23/529,8628/5957 is 8628

Given numbers has no common factors except 1. So, there LCM is their product i.e 198444

Least Common Multiple of 23,8628 with GCF Formula

Least Common Multiple of 23,8628 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 23,8628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,8628) = 1

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

GCF(23,8628) x common factors =1 x 1 = 1

LCM(23,8628) = ( 23 × 8628 ) / 1

LCM(23,8628) = 198444 / 1

LCM(23,8628) = 198444


Lets's calculate GCF of 529,5957

23 529, 5957
23, 259

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198444/23

Therefore the LCM of Fractions 23/529,8628/5957 is 8628

Greatest Common Factor of 529,5957 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,5957 By Matching Biggest Common Factor Method

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 5957

List of positive integer factors of 5957 that divides 5957 without a remainder.

1,7,23,37,161,259,851,5957

Greatest Common Factor

We found the factors 529,5957 . The biggest common factor number is the GCF number.
So the greatest common factor 529,5957 is 23.


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 23/529, 8628/5957

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 23/529, 8628/5957?

Answer: LCM of Numerators as per given numbers 23/529, 8628/5957 is

LCM of Numerators i.e. for 23,8628 is 198444

GCF of denominators i.e. for 529,5957 is 23.

Thus, LCM of Fractions is 8628.Finally, LCM of Fractions for 23/529, 8628/5957 is 8628.