Least Common Multiple of 7253/260, 5004/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7253/260, 5004/582 quickly i.e. 18147006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7253/260, 5004/582 is 18147006.

LCM(7253/260, 5004/582) = 18147006

LCM of 7253/260, 5004/582

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 7253/260,5004/582

Given numbers are 7253/260,5004/582

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 7253,5004

Least Common Multiple of Numerators i.e. LCM of 7253,5004 is 36294012.

GCF of Denominators means GCF of 260,582 as per the given fractions.

GCF of 260,582 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7253,5004

LCM of Fractions 7253/260,5004/582 is 18147006

Given numbers has no common factors except 1. So, there LCM is their product i.e 36294012

Least Common Multiple of 7253,5004 with GCF Formula

Least Common Multiple of 7253,5004 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 7253,5004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7253,5004) = 1

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

GCF(7253,5004) x common factors =1 x 1 = 1

LCM(7253,5004) = ( 7253 × 5004 ) / 1

LCM(7253,5004) = 36294012 / 1

LCM(7253,5004) = 36294012


Lets's calculate GCF of 260,582

2 260, 582
130, 291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36294012/2

Therefore the LCM of Fractions 7253/260,5004/582 is 18147006

Greatest Common Factor of 260,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,582 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

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 260,582 . The biggest common factor number is the GCF number.
So the greatest common factor 260,582 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 7253/260, 5004/582

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 7253/260, 5004/582?

Answer: LCM of Numerators as per given numbers 7253/260, 5004/582 is

LCM of Numerators i.e. for 7253,5004 is 36294012

GCF of denominators i.e. for 260,582 is 2.

Thus, LCM of Fractions is 18147006.Finally, LCM of Fractions for 7253/260, 5004/582 is 18147006.