Least Common Multiple of 27/579, 241/15, 609/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/579, 241/15, 609/516 quickly i.e. 440307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/579, 241/15, 609/516 is 440307.

LCM(27/579, 241/15, 609/516) = 440307

LCM of 27/579, 241/15, 609/516

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 27/579,241/15,609/516

Given numbers are 27/579,241/15,609/516

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 27,241,609

Least Common Multiple of Numerators i.e. LCM of 27,241,609 is 1320921.

GCF of Denominators means GCF of 579,15,516 as per the given fractions.

GCF of 579,15,516 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,241,609

LCM of Fractions 27/579,241/15,609/516 is 440307

3 27, 241, 609
9, 241, 203

∴ So the LCM of the given numbers is 3 x 9 x 241 x 203 = 1320921

Least Common Multiple of 27,241,609 with GCF Formula

Least Common Multiple of 27,241,609 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 27,241,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,241,609) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,241,609) x common factors =1 x 3 = 3

LCM(27,241,609) = ( 27 × 241 × 609 ) / 3

LCM(27,241,609) = 3962763 / 3

LCM(27,241,609) = 1320921


Lets's calculate GCF of 579,15,516

3 579, 15, 516
193, 5, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1320921/3

Therefore the LCM of Fractions 27/579,241/15,609/516 is 440307

Greatest Common Factor of 579,15,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 579,15,516 By Matching Biggest Common Factor Method

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 579,15,516 . The biggest common factor number is the GCF number.
So the greatest common factor 579,15,516 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 27/579, 241/15, 609/516

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 27/579, 241/15, 609/516?

Answer: LCM of Numerators as per given numbers 27/579, 241/15, 609/516 is

LCM of Numerators i.e. for 27,241,609 is 1320921

GCF of denominators i.e. for 579,15,516 is 3.

Thus, LCM of Fractions is 440307.Finally, LCM of Fractions for 27/579, 241/15, 609/516 is 440307.