Least Common Multiple of 2004/403, 9629/5275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2004/403, 9629/5275 quickly i.e. 19296516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2004/403, 9629/5275 is 19296516.

LCM(2004/403, 9629/5275) = 19296516

LCM of 2004/403, 9629/5275

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 2004/403,9629/5275

Given numbers are 2004/403,9629/5275

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 2004,9629

Least Common Multiple of Numerators i.e. LCM of 2004,9629 is 19296516.

GCF of Denominators means GCF of 403,5275 as per the given fractions.

GCF of 403,5275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2004,9629

LCM of Fractions 2004/403,9629/5275 is 19296516

Given numbers has no common factors except 1. So, there LCM is their product i.e 19296516

Least Common Multiple of 2004,9629 with GCF Formula

Least Common Multiple of 2004,9629 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 2004,9629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2004,9629) = 1

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

GCF(2004,9629) x common factors =1 x 1 = 1

LCM(2004,9629) = ( 2004 × 9629 ) / 1

LCM(2004,9629) = 19296516 / 1

LCM(2004,9629) = 19296516


Lets's calculate GCF of 403,5275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19296516/1

Therefore the LCM of Fractions 2004/403,9629/5275 is 19296516

Greatest Common Factor of 403,5275 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,5275 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 5275

List of positive integer factors of 5275 that divides 5275 without a remainder.

1,5,25,211,1055,5275

Greatest Common Factor

We found the factors 403,5275 . The biggest common factor number is the GCF number.
So the greatest common factor 403,5275 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 2004/403, 9629/5275

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 2004/403, 9629/5275?

Answer: LCM of Numerators as per given numbers 2004/403, 9629/5275 is

LCM of Numerators i.e. for 2004,9629 is 19296516

GCF of denominators i.e. for 403,5275 is 1.

Thus, LCM of Fractions is 19296516.Finally, LCM of Fractions for 2004/403, 9629/5275 is 19296516.