Least Common Multiple of 8321/596, 5584/1538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8321/596, 5584/1538 quickly i.e. 23232232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8321/596, 5584/1538 is 23232232.

LCM(8321/596, 5584/1538) = 23232232

LCM of 8321/596, 5584/1538

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 8321/596,5584/1538

Given numbers are 8321/596,5584/1538

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 8321,5584

Least Common Multiple of Numerators i.e. LCM of 8321,5584 is 46464464.

GCF of Denominators means GCF of 596,1538 as per the given fractions.

GCF of 596,1538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8321,5584

LCM of Fractions 8321/596,5584/1538 is 23232232

Given numbers has no common factors except 1. So, there LCM is their product i.e 46464464

Least Common Multiple of 8321,5584 with GCF Formula

Least Common Multiple of 8321,5584 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 8321,5584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8321,5584) = 1

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

GCF(8321,5584) x common factors =1 x 1 = 1

LCM(8321,5584) = ( 8321 × 5584 ) / 1

LCM(8321,5584) = 46464464 / 1

LCM(8321,5584) = 46464464


Lets's calculate GCF of 596,1538

2 596, 1538
298, 769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46464464/2

Therefore the LCM of Fractions 8321/596,5584/1538 is 23232232

Greatest Common Factor of 596,1538 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,1538 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1,2,769,1538

Greatest Common Factor

We found the factors 596,1538 . The biggest common factor number is the GCF number.
So the greatest common factor 596,1538 is 2.


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 8321/596, 5584/1538

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 8321/596, 5584/1538?

Answer: LCM of Numerators as per given numbers 8321/596, 5584/1538 is

LCM of Numerators i.e. for 8321,5584 is 46464464

GCF of denominators i.e. for 596,1538 is 2.

Thus, LCM of Fractions is 23232232.Finally, LCM of Fractions for 8321/596, 5584/1538 is 23232232.