Least Common Multiple of 2409/130, 6396/6908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2409/130, 6396/6908 quickly i.e. 2567994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2409/130, 6396/6908 is 2567994.

LCM(2409/130, 6396/6908) = 2567994

LCM of 2409/130, 6396/6908

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 2409/130,6396/6908

Given numbers are 2409/130,6396/6908

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 2409,6396

Least Common Multiple of Numerators i.e. LCM of 2409,6396 is 5135988.

GCF of Denominators means GCF of 130,6908 as per the given fractions.

GCF of 130,6908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2409,6396

LCM of Fractions 2409/130,6396/6908 is 2567994

3 2409, 6396
803, 2132

∴ So the LCM of the given numbers is 3 x 803 x 2132 = 5135988

Least Common Multiple of 2409,6396 with GCF Formula

Least Common Multiple of 2409,6396 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 2409,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2409,6396) = 3

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

GCF(2409,6396) x common factors =3 x 1 = 3

LCM(2409,6396) = ( 2409 × 6396 ) / 3

LCM(2409,6396) = 15407964 / 3

LCM(2409,6396) = 5135988


Lets's calculate GCF of 130,6908

2 130, 6908
65, 3454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5135988/2

Therefore the LCM of Fractions 2409/130,6396/6908 is 2567994

Greatest Common Factor of 130,6908 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,6908 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1,2,4,11,22,44,157,314,628,1727,3454,6908

Greatest Common Factor

We found the factors 130,6908 . The biggest common factor number is the GCF number.
So the greatest common factor 130,6908 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 2409/130, 6396/6908

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 2409/130, 6396/6908?

Answer: LCM of Numerators as per given numbers 2409/130, 6396/6908 is

LCM of Numerators i.e. for 2409,6396 is 5135988

GCF of denominators i.e. for 130,6908 is 2.

Thus, LCM of Fractions is 2567994.Finally, LCM of Fractions for 2409/130, 6396/6908 is 2567994.