Least Common Multiple of 6044/613, 5013/9000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6044/613, 5013/9000 quickly i.e. 30298572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6044/613, 5013/9000 is 30298572.

LCM(6044/613, 5013/9000) = 30298572

LCM of 6044/613, 5013/9000

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 6044/613,5013/9000

Given numbers are 6044/613,5013/9000

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 6044,5013

Least Common Multiple of Numerators i.e. LCM of 6044,5013 is 30298572.

GCF of Denominators means GCF of 613,9000 as per the given fractions.

GCF of 613,9000 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6044,5013

LCM of Fractions 6044/613,5013/9000 is 30298572

Given numbers has no common factors except 1. So, there LCM is their product i.e 30298572

Least Common Multiple of 6044,5013 with GCF Formula

Least Common Multiple of 6044,5013 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 6044,5013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6044,5013) = 1

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

GCF(6044,5013) x common factors =1 x 1 = 1

LCM(6044,5013) = ( 6044 × 5013 ) / 1

LCM(6044,5013) = 30298572 / 1

LCM(6044,5013) = 30298572


Lets's calculate GCF of 613,9000

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30298572/1

Therefore the LCM of Fractions 6044/613,5013/9000 is 30298572

Greatest Common Factor of 613,9000 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,9000 By Matching Biggest Common Factor Method

Factors of 613

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

1,613

Factors of 9000

List of positive integer factors of 9000 that divides 9000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000

Greatest Common Factor

We found the factors 613,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 613,9000 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 6044/613, 5013/9000

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 6044/613, 5013/9000?

Answer: LCM of Numerators as per given numbers 6044/613, 5013/9000 is

LCM of Numerators i.e. for 6044,5013 is 30298572

GCF of denominators i.e. for 613,9000 is 1.

Thus, LCM of Fractions is 30298572.Finally, LCM of Fractions for 6044/613, 5013/9000 is 30298572.