Least Common Multiple of 3009/842, 2604/1536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3009/842, 2604/1536 quickly i.e. 1305906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3009/842, 2604/1536 is 1305906.

LCM(3009/842, 2604/1536) = 1305906

LCM of 3009/842, 2604/1536

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 3009/842,2604/1536

Given numbers are 3009/842,2604/1536

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 3009,2604

Least Common Multiple of Numerators i.e. LCM of 3009,2604 is 2611812.

GCF of Denominators means GCF of 842,1536 as per the given fractions.

GCF of 842,1536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3009,2604

LCM of Fractions 3009/842,2604/1536 is 1305906

3 3009, 2604
1003, 868

∴ So the LCM of the given numbers is 3 x 1003 x 868 = 2611812

Least Common Multiple of 3009,2604 with GCF Formula

Least Common Multiple of 3009,2604 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 3009,2604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3009,2604) = 3

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

GCF(3009,2604) x common factors =3 x 1 = 3

LCM(3009,2604) = ( 3009 × 2604 ) / 3

LCM(3009,2604) = 7835436 / 3

LCM(3009,2604) = 2611812


Lets's calculate GCF of 842,1536

2 842, 1536
421, 768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2611812/2

Therefore the LCM of Fractions 3009/842,2604/1536 is 1305906

Greatest Common Factor of 842,1536 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,1536 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 1536

List of positive integer factors of 1536 that divides 1536 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536

Greatest Common Factor

We found the factors 842,1536 . The biggest common factor number is the GCF number.
So the greatest common factor 842,1536 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 3009/842, 2604/1536

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 3009/842, 2604/1536?

Answer: LCM of Numerators as per given numbers 3009/842, 2604/1536 is

LCM of Numerators i.e. for 3009,2604 is 2611812

GCF of denominators i.e. for 842,1536 is 2.

Thus, LCM of Fractions is 1305906.Finally, LCM of Fractions for 3009/842, 2604/1536 is 1305906.