Least Common Multiple of 564/381, 3072/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/381, 3072/855 quickly i.e. 48128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/381, 3072/855 is 48128.

LCM(564/381, 3072/855) = 48128

LCM of 564/381, 3072/855

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 564/381,3072/855

Given numbers are 564/381,3072/855

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 564,3072

Least Common Multiple of Numerators i.e. LCM of 564,3072 is 144384.

GCF of Denominators means GCF of 381,855 as per the given fractions.

GCF of 381,855 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,3072

LCM of Fractions 564/381,3072/855 is 48128

2 564, 3072
2 282, 1536
3 141, 768
47, 256

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 256 = 144384

Least Common Multiple of 564,3072 with GCF Formula

Least Common Multiple of 564,3072 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 564,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,3072) = 12

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

GCF(564,3072) x common factors =12 x 1 = 12

LCM(564,3072) = ( 564 × 3072 ) / 12

LCM(564,3072) = 1732608 / 12

LCM(564,3072) = 144384


Lets's calculate GCF of 381,855

3 381, 855
127, 285

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144384/3

Therefore the LCM of Fractions 564/381,3072/855 is 48128

Greatest Common Factor of 381,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,855 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 381,855 . The biggest common factor number is the GCF number.
So the greatest common factor 381,855 is 3.


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 564/381, 3072/855

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 564/381, 3072/855?

Answer: LCM of Numerators as per given numbers 564/381, 3072/855 is

LCM of Numerators i.e. for 564,3072 is 144384

GCF of denominators i.e. for 381,855 is 3.

Thus, LCM of Fractions is 48128.Finally, LCM of Fractions for 564/381, 3072/855 is 48128.