Least Common Multiple of 288/524, 6793/8684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/524, 6793/8684 quickly i.e. 489096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/524, 6793/8684 is 489096.

LCM(288/524, 6793/8684) = 489096

LCM of 288/524, 6793/8684

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 288/524,6793/8684

Given numbers are 288/524,6793/8684

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 288,6793

Least Common Multiple of Numerators i.e. LCM of 288,6793 is 1956384.

GCF of Denominators means GCF of 524,8684 as per the given fractions.

GCF of 524,8684 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,6793

LCM of Fractions 288/524,6793/8684 is 489096

Given numbers has no common factors except 1. So, there LCM is their product i.e 1956384

Least Common Multiple of 288,6793 with GCF Formula

Least Common Multiple of 288,6793 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 288,6793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,6793) = 1

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

GCF(288,6793) x common factors =1 x 1 = 1

LCM(288,6793) = ( 288 × 6793 ) / 1

LCM(288,6793) = 1956384 / 1

LCM(288,6793) = 1956384


Lets's calculate GCF of 524,8684

2 524, 8684
2 262, 4342
131, 2171

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1956384/4

Therefore the LCM of Fractions 288/524,6793/8684 is 489096

Greatest Common Factor of 524,8684 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,8684 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1,2,4,13,26,52,167,334,668,2171,4342,8684

Greatest Common Factor

We found the factors 524,8684 . The biggest common factor number is the GCF number.
So the greatest common factor 524,8684 is 4.


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 288/524, 6793/8684

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 288/524, 6793/8684?

Answer: LCM of Numerators as per given numbers 288/524, 6793/8684 is

LCM of Numerators i.e. for 288,6793 is 1956384

GCF of denominators i.e. for 524,8684 is 4.

Thus, LCM of Fractions is 489096.Finally, LCM of Fractions for 288/524, 6793/8684 is 489096.