Least Common Multiple of 4663/10, 5982/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4663/10, 5982/523 quickly i.e. 27894066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4663/10, 5982/523 is 27894066.

LCM(4663/10, 5982/523) = 27894066

LCM of 4663/10, 5982/523

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 4663/10,5982/523

Given numbers are 4663/10,5982/523

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 4663,5982

Least Common Multiple of Numerators i.e. LCM of 4663,5982 is 27894066.

GCF of Denominators means GCF of 10,523 as per the given fractions.

GCF of 10,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4663,5982

LCM of Fractions 4663/10,5982/523 is 27894066

Given numbers has no common factors except 1. So, there LCM is their product i.e 27894066

Least Common Multiple of 4663,5982 with GCF Formula

Least Common Multiple of 4663,5982 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 4663,5982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4663,5982) = 1

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

GCF(4663,5982) x common factors =1 x 1 = 1

LCM(4663,5982) = ( 4663 × 5982 ) / 1

LCM(4663,5982) = 27894066 / 1

LCM(4663,5982) = 27894066


Lets's calculate GCF of 10,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27894066/1

Therefore the LCM of Fractions 4663/10,5982/523 is 27894066

Greatest Common Factor of 10,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,523 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 10,523 . The biggest common factor number is the GCF number.
So the greatest common factor 10,523 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 4663/10, 5982/523

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 4663/10, 5982/523?

Answer: LCM of Numerators as per given numbers 4663/10, 5982/523 is

LCM of Numerators i.e. for 4663,5982 is 27894066

GCF of denominators i.e. for 10,523 is 1.

Thus, LCM of Fractions is 27894066.Finally, LCM of Fractions for 4663/10, 5982/523 is 27894066.