Least Common Multiple of 583/12, 837/96, 724/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 583/12, 837/96, 724/371 quickly i.e. 353291004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/12, 837/96, 724/371 is 353291004.

LCM(583/12, 837/96, 724/371) = 353291004

LCM of 583/12, 837/96, 724/371

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 583/12,837/96,724/371

Given numbers are 583/12,837/96,724/371

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 583,837,724

Least Common Multiple of Numerators i.e. LCM of 583,837,724 is 353291004.

GCF of Denominators means GCF of 12,96,371 as per the given fractions.

GCF of 12,96,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,837,724

LCM of Fractions 583/12,837/96,724/371 is 353291004

Given numbers has no common factors except 1. So, there LCM is their product i.e 353291004

Least Common Multiple of 583,837,724 with GCF Formula

Least Common Multiple of 583,837,724 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 583,837,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,837,724) = 1

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

GCF(583,837,724) x common factors =1 x 1 = 1

LCM(583,837,724) = ( 583 × 837 × 724 ) / 1

LCM(583,837,724) = 353291004 / 1

LCM(583,837,724) = 353291004


Lets's calculate GCF of 12,96,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353291004/1

Therefore the LCM of Fractions 583/12,837/96,724/371 is 353291004

Greatest Common Factor of 12,96,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,96,371 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 12,96,371 . The biggest common factor number is the GCF number.
So the greatest common factor 12,96,371 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 583/12, 837/96, 724/371

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 583/12, 837/96, 724/371?

Answer: LCM of Numerators as per given numbers 583/12, 837/96, 724/371 is

LCM of Numerators i.e. for 583,837,724 is 353291004

GCF of denominators i.e. for 12,96,371 is 1.

Thus, LCM of Fractions is 353291004.Finally, LCM of Fractions for 583/12, 837/96, 724/371 is 353291004.