Least Common Multiple of 913/200, 133/574, 408/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 913/200, 133/574, 408/582 quickly i.e. 24771516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 913/200, 133/574, 408/582 is 24771516.

LCM(913/200, 133/574, 408/582) = 24771516

LCM of 913/200, 133/574, 408/582

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 913/200,133/574,408/582

Given numbers are 913/200,133/574,408/582

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 913,133,408

Least Common Multiple of Numerators i.e. LCM of 913,133,408 is 49543032.

GCF of Denominators means GCF of 200,574,582 as per the given fractions.

GCF of 200,574,582 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 913,133,408

LCM of Fractions 913/200,133/574,408/582 is 24771516

Given numbers has no common factors except 1. So, there LCM is their product i.e 49543032

Least Common Multiple of 913,133,408 with GCF Formula

Least Common Multiple of 913,133,408 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 913,133,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,133,408) = 1

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

GCF(913,133,408) x common factors =1 x 1 = 1

LCM(913,133,408) = ( 913 × 133 × 408 ) / 1

LCM(913,133,408) = 49543032 / 1

LCM(913,133,408) = 49543032


Lets's calculate GCF of 200,574,582

2 200, 574, 582
100, 287, 291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49543032/2

Therefore the LCM of Fractions 913/200,133/574,408/582 is 24771516

Greatest Common Factor of 200,574,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,574,582 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 200,574,582 . The biggest common factor number is the GCF number.
So the greatest common factor 200,574,582 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 913/200, 133/574, 408/582

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 913/200, 133/574, 408/582?

Answer: LCM of Numerators as per given numbers 913/200, 133/574, 408/582 is

LCM of Numerators i.e. for 913,133,408 is 49543032

GCF of denominators i.e. for 200,574,582 is 2.

Thus, LCM of Fractions is 24771516.Finally, LCM of Fractions for 913/200, 133/574, 408/582 is 24771516.