Least Common Multiple of 9604/519, 1101/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9604/519, 1101/413 quickly i.e. 10574004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9604/519, 1101/413 is 10574004.

LCM(9604/519, 1101/413) = 10574004

LCM of 9604/519, 1101/413

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 9604/519,1101/413

Given numbers are 9604/519,1101/413

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 9604,1101

Least Common Multiple of Numerators i.e. LCM of 9604,1101 is 10574004.

GCF of Denominators means GCF of 519,413 as per the given fractions.

GCF of 519,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9604,1101

LCM of Fractions 9604/519,1101/413 is 10574004

Given numbers has no common factors except 1. So, there LCM is their product i.e 10574004

Least Common Multiple of 9604,1101 with GCF Formula

Least Common Multiple of 9604,1101 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 9604,1101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9604,1101) = 1

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

GCF(9604,1101) x common factors =1 x 1 = 1

LCM(9604,1101) = ( 9604 × 1101 ) / 1

LCM(9604,1101) = 10574004 / 1

LCM(9604,1101) = 10574004


Lets's calculate GCF of 519,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10574004/1

Therefore the LCM of Fractions 9604/519,1101/413 is 10574004

Greatest Common Factor of 519,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,413 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 519,413 . The biggest common factor number is the GCF number.
So the greatest common factor 519,413 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 9604/519, 1101/413

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 9604/519, 1101/413?

Answer: LCM of Numerators as per given numbers 9604/519, 1101/413 is

LCM of Numerators i.e. for 9604,1101 is 10574004

GCF of denominators i.e. for 519,413 is 1.

Thus, LCM of Fractions is 10574004.Finally, LCM of Fractions for 9604/519, 1101/413 is 10574004.