Least Common Multiple of 281/580, 565/784, 136/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 281/580, 565/784, 136/395 quickly i.e. 21592040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 281/580, 565/784, 136/395 is 21592040.

LCM(281/580, 565/784, 136/395) = 21592040

LCM of 281/580, 565/784, 136/395

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 281/580,565/784,136/395

Given numbers are 281/580,565/784,136/395

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 281,565,136

Least Common Multiple of Numerators i.e. LCM of 281,565,136 is 21592040.

GCF of Denominators means GCF of 580,784,395 as per the given fractions.

GCF of 580,784,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 281,565,136

LCM of Fractions 281/580,565/784,136/395 is 21592040

Given numbers has no common factors except 1. So, there LCM is their product i.e 21592040

Least Common Multiple of 281,565,136 with GCF Formula

Least Common Multiple of 281,565,136 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 281,565,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,565,136) = 1

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

GCF(281,565,136) x common factors =1 x 1 = 1

LCM(281,565,136) = ( 281 × 565 × 136 ) / 1

LCM(281,565,136) = 21592040 / 1

LCM(281,565,136) = 21592040


Lets's calculate GCF of 580,784,395

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21592040/1

Therefore the LCM of Fractions 281/580,565/784,136/395 is 21592040

Greatest Common Factor of 580,784,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,784,395 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 580,784,395 . The biggest common factor number is the GCF number.
So the greatest common factor 580,784,395 is 1.


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 281/580, 565/784, 136/395

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 281/580, 565/784, 136/395?

Answer: LCM of Numerators as per given numbers 281/580, 565/784, 136/395 is

LCM of Numerators i.e. for 281,565,136 is 21592040

GCF of denominators i.e. for 580,784,395 is 1.

Thus, LCM of Fractions is 21592040.Finally, LCM of Fractions for 281/580, 565/784, 136/395 is 21592040.