Least Common Multiple of 523/584, 9524/9804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/584, 9524/9804 quickly i.e. 1245263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/584, 9524/9804 is 1245263.

LCM(523/584, 9524/9804) = 1245263

LCM of 523/584, 9524/9804

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 523/584,9524/9804

Given numbers are 523/584,9524/9804

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 523,9524

Least Common Multiple of Numerators i.e. LCM of 523,9524 is 4981052.

GCF of Denominators means GCF of 584,9804 as per the given fractions.

GCF of 584,9804 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,9524

LCM of Fractions 523/584,9524/9804 is 1245263

Given numbers has no common factors except 1. So, there LCM is their product i.e 4981052

Least Common Multiple of 523,9524 with GCF Formula

Least Common Multiple of 523,9524 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 523,9524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,9524) = 1

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

GCF(523,9524) x common factors =1 x 1 = 1

LCM(523,9524) = ( 523 × 9524 ) / 1

LCM(523,9524) = 4981052 / 1

LCM(523,9524) = 4981052


Lets's calculate GCF of 584,9804

2 584, 9804
2 292, 4902
146, 2451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4981052/4

Therefore the LCM of Fractions 523/584,9524/9804 is 1245263

Greatest Common Factor of 584,9804 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,9804 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 9804

List of positive integer factors of 9804 that divides 9804 without a remainder.

1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804

Greatest Common Factor

We found the factors 584,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 584,9804 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 523/584, 9524/9804

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 523/584, 9524/9804?

Answer: LCM of Numerators as per given numbers 523/584, 9524/9804 is

LCM of Numerators i.e. for 523,9524 is 4981052

GCF of denominators i.e. for 584,9804 is 4.

Thus, LCM of Fractions is 1245263.Finally, LCM of Fractions for 523/584, 9524/9804 is 1245263.