Least Common Multiple of 27/580, 564/150, 207/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/580, 564/150, 207/396 quickly i.e. 58374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/580, 564/150, 207/396 is 58374.

LCM(27/580, 564/150, 207/396) = 58374

LCM of 27/580, 564/150, 207/396

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 27/580,564/150,207/396

Given numbers are 27/580,564/150,207/396

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 27,564,207

Least Common Multiple of Numerators i.e. LCM of 27,564,207 is 116748.

GCF of Denominators means GCF of 580,150,396 as per the given fractions.

GCF of 580,150,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,564,207

LCM of Fractions 27/580,564/150,207/396 is 58374

3 27, 564, 207
3 9, 188, 69
3, 188, 23

∴ So the LCM of the given numbers is 3 x 3 x 3 x 188 x 23 = 116748

Least Common Multiple of 27,564,207 with GCF Formula

Least Common Multiple of 27,564,207 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 27,564,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,564,207) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(27,564,207) x common factors =3 x 9 = 27

LCM(27,564,207) = ( 27 × 564 × 207 ) / 27

LCM(27,564,207) = 3152196 / 27

LCM(27,564,207) = 116748


Lets's calculate GCF of 580,150,396

2 580, 150, 396
290, 75, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116748/2

Therefore the LCM of Fractions 27/580,564/150,207/396 is 58374

Greatest Common Factor of 580,150,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,150,396 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 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 580,150,396 . The biggest common factor number is the GCF number.
So the greatest common factor 580,150,396 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 27/580, 564/150, 207/396

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 27/580, 564/150, 207/396?

Answer: LCM of Numerators as per given numbers 27/580, 564/150, 207/396 is

LCM of Numerators i.e. for 27,564,207 is 116748

GCF of denominators i.e. for 580,150,396 is 2.

Thus, LCM of Fractions is 58374.Finally, LCM of Fractions for 27/580, 564/150, 207/396 is 58374.