Least Common Multiple of 3084/768, 2381/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3084/768, 2381/584 quickly i.e. 7343004/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3084/768, 2381/584 is 7343004/8.

LCM(3084/768, 2381/584) = 7343004/8

LCM of 3084/768, 2381/584

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 3084/768,2381/584

Given numbers are 3084/768,2381/584

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 3084,2381

Least Common Multiple of Numerators i.e. LCM of 3084,2381 is 7343004.

GCF of Denominators means GCF of 768,584 as per the given fractions.

GCF of 768,584 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3084,2381

LCM of Fractions 3084/768,2381/584 is 7343004/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 7343004

Least Common Multiple of 3084,2381 with GCF Formula

Least Common Multiple of 3084,2381 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 3084,2381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3084,2381) = 1

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

GCF(3084,2381) x common factors =1 x 1 = 1

LCM(3084,2381) = ( 3084 × 2381 ) / 1

LCM(3084,2381) = 7343004 / 1

LCM(3084,2381) = 7343004


Lets's calculate GCF of 768,584

2 768, 584
2 384, 292
2 192, 146
96, 73

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7343004/8

Therefore the LCM of Fractions 3084/768,2381/584 is 7343004/8

Greatest Common Factor of 768,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,584 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

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

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 768,584 . The biggest common factor number is the GCF number.
So the greatest common factor 768,584 is 8.


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 3084/768, 2381/584

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 3084/768, 2381/584?

Answer: LCM of Numerators as per given numbers 3084/768, 2381/584 is

LCM of Numerators i.e. for 3084,2381 is 7343004

GCF of denominators i.e. for 768,584 is 8.

Thus, LCM of Fractions is 7343004/8.Finally, LCM of Fractions for 3084/768, 2381/584 is 7343004/8.