Least Common Multiple of 2409/270, 6060/8708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2409/270, 6060/8708 quickly i.e. 2433090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2409/270, 6060/8708 is 2433090.

LCM(2409/270, 6060/8708) = 2433090

LCM of 2409/270, 6060/8708

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 2409/270,6060/8708

Given numbers are 2409/270,6060/8708

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 2409,6060

Least Common Multiple of Numerators i.e. LCM of 2409,6060 is 4866180.

GCF of Denominators means GCF of 270,8708 as per the given fractions.

GCF of 270,8708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2409,6060

LCM of Fractions 2409/270,6060/8708 is 2433090

3 2409, 6060
803, 2020

∴ So the LCM of the given numbers is 3 x 803 x 2020 = 4866180

Least Common Multiple of 2409,6060 with GCF Formula

Least Common Multiple of 2409,6060 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 2409,6060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2409,6060) = 3

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

GCF(2409,6060) x common factors =3 x 1 = 3

LCM(2409,6060) = ( 2409 × 6060 ) / 3

LCM(2409,6060) = 14598540 / 3

LCM(2409,6060) = 4866180


Lets's calculate GCF of 270,8708

2 270, 8708
135, 4354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4866180/2

Therefore the LCM of Fractions 2409/270,6060/8708 is 2433090

Greatest Common Factor of 270,8708 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,8708 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 8708

List of positive integer factors of 8708 that divides 8708 without a remainder.

1,2,4,7,14,28,311,622,1244,2177,4354,8708

Greatest Common Factor

We found the factors 270,8708 . The biggest common factor number is the GCF number.
So the greatest common factor 270,8708 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 2409/270, 6060/8708

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 2409/270, 6060/8708?

Answer: LCM of Numerators as per given numbers 2409/270, 6060/8708 is

LCM of Numerators i.e. for 2409,6060 is 4866180

GCF of denominators i.e. for 270,8708 is 2.

Thus, LCM of Fractions is 2433090.Finally, LCM of Fractions for 2409/270, 6060/8708 is 2433090.