Least Common Multiple of 29/324, 708/600, 593/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/324, 708/600, 593/613 quickly i.e. 12175476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/324, 708/600, 593/613 is 12175476.

LCM(29/324, 708/600, 593/613) = 12175476

LCM of 29/324, 708/600, 593/613

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 29/324,708/600,593/613

Given numbers are 29/324,708/600,593/613

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 29,708,593

Least Common Multiple of Numerators i.e. LCM of 29,708,593 is 12175476.

GCF of Denominators means GCF of 324,600,613 as per the given fractions.

GCF of 324,600,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,708,593

LCM of Fractions 29/324,708/600,593/613 is 12175476

Given numbers has no common factors except 1. So, there LCM is their product i.e 12175476

Least Common Multiple of 29,708,593 with GCF Formula

Least Common Multiple of 29,708,593 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 29,708,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,708,593) = 1

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

GCF(29,708,593) x common factors =1 x 1 = 1

LCM(29,708,593) = ( 29 × 708 × 593 ) / 1

LCM(29,708,593) = 12175476 / 1

LCM(29,708,593) = 12175476


Lets's calculate GCF of 324,600,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12175476/1

Therefore the LCM of Fractions 29/324,708/600,593/613 is 12175476

Greatest Common Factor of 324,600,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,600,613 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 324,600,613 . The biggest common factor number is the GCF number.
So the greatest common factor 324,600,613 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 29/324, 708/600, 593/613

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 29/324, 708/600, 593/613?

Answer: LCM of Numerators as per given numbers 29/324, 708/600, 593/613 is

LCM of Numerators i.e. for 29,708,593 is 12175476

GCF of denominators i.e. for 324,600,613 is 1.

Thus, LCM of Fractions is 12175476.Finally, LCM of Fractions for 29/324, 708/600, 593/613 is 12175476.