Least Common Multiple of 668/27, 519/72, 556/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/27, 519/72, 556/591 quickly i.e. 16063396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/27, 519/72, 556/591 is 16063396.

LCM(668/27, 519/72, 556/591) = 16063396

LCM of 668/27, 519/72, 556/591

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 668/27,519/72,556/591

Given numbers are 668/27,519/72,556/591

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 668,519,556

Least Common Multiple of Numerators i.e. LCM of 668,519,556 is 48190188.

GCF of Denominators means GCF of 27,72,591 as per the given fractions.

GCF of 27,72,591 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,519,556

LCM of Fractions 668/27,519/72,556/591 is 16063396

2 668, 519, 556
2 334, 519, 278
167, 519, 139

∴ So the LCM of the given numbers is 2 x 2 x 167 x 519 x 139 = 48190188

Least Common Multiple of 668,519,556 with GCF Formula

Least Common Multiple of 668,519,556 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 668,519,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,519,556) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(668,519,556) x common factors =1 x 4 = 4

LCM(668,519,556) = ( 668 × 519 × 556 ) / 4

LCM(668,519,556) = 192760752 / 4

LCM(668,519,556) = 48190188


Lets's calculate GCF of 27,72,591

3 27, 72, 591
9, 24, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48190188/3

Therefore the LCM of Fractions 668/27,519/72,556/591 is 16063396

Greatest Common Factor of 27,72,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,72,591 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 27,72,591 . The biggest common factor number is the GCF number.
So the greatest common factor 27,72,591 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 668/27, 519/72, 556/591

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 668/27, 519/72, 556/591?

Answer: LCM of Numerators as per given numbers 668/27, 519/72, 556/591 is

LCM of Numerators i.e. for 668,519,556 is 48190188

GCF of denominators i.e. for 27,72,591 is 3.

Thus, LCM of Fractions is 16063396.Finally, LCM of Fractions for 668/27, 519/72, 556/591 is 16063396.