Least Common Multiple of 427/588, 309/790, 871/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/588, 309/790, 871/552 quickly i.e. 114922353/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/588, 309/790, 871/552 is 114922353/2.

LCM(427/588, 309/790, 871/552) = 114922353/2

LCM of 427/588, 309/790, 871/552

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 427/588,309/790,871/552

Given numbers are 427/588,309/790,871/552

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 427,309,871

Least Common Multiple of Numerators i.e. LCM of 427,309,871 is 114922353.

GCF of Denominators means GCF of 588,790,552 as per the given fractions.

GCF of 588,790,552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,309,871

LCM of Fractions 427/588,309/790,871/552 is 114922353/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 114922353

Least Common Multiple of 427,309,871 with GCF Formula

Least Common Multiple of 427,309,871 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 427,309,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,309,871) = 1

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

GCF(427,309,871) x common factors =1 x 1 = 1

LCM(427,309,871) = ( 427 × 309 × 871 ) / 1

LCM(427,309,871) = 114922353 / 1

LCM(427,309,871) = 114922353


Lets's calculate GCF of 588,790,552

2 588, 790, 552
294, 395, 276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114922353/2

Therefore the LCM of Fractions 427/588,309/790,871/552 is 114922353/2

Greatest Common Factor of 588,790,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,790,552 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 588,790,552 . The biggest common factor number is the GCF number.
So the greatest common factor 588,790,552 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 427/588, 309/790, 871/552

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 427/588, 309/790, 871/552?

Answer: LCM of Numerators as per given numbers 427/588, 309/790, 871/552 is

LCM of Numerators i.e. for 427,309,871 is 114922353

GCF of denominators i.e. for 588,790,552 is 2.

Thus, LCM of Fractions is 114922353/2.Finally, LCM of Fractions for 427/588, 309/790, 871/552 is 114922353/2.