Least Common Multiple of 27/275, 177/885, 313/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/275, 177/885, 313/270 quickly i.e. 498609/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/275, 177/885, 313/270 is 498609/5.

LCM(27/275, 177/885, 313/270) = 498609/5

LCM of 27/275, 177/885, 313/270

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 27/275,177/885,313/270

Given numbers are 27/275,177/885,313/270

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 27,177,313

Least Common Multiple of Numerators i.e. LCM of 27,177,313 is 498609.

GCF of Denominators means GCF of 275,885,270 as per the given fractions.

GCF of 275,885,270 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,177,313

LCM of Fractions 27/275,177/885,313/270 is 498609/5

3 27, 177, 313
9, 59, 313

∴ So the LCM of the given numbers is 3 x 9 x 59 x 313 = 498609

Least Common Multiple of 27,177,313 with GCF Formula

Least Common Multiple of 27,177,313 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 27,177,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,177,313) = 1

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

GCF(27,177,313) x common factors =1 x 3 = 3

LCM(27,177,313) = ( 27 × 177 × 313 ) / 3

LCM(27,177,313) = 1495827 / 3

LCM(27,177,313) = 498609


Lets's calculate GCF of 275,885,270

5 275, 885, 270
55, 177, 54

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 498609/5

Therefore the LCM of Fractions 27/275,177/885,313/270 is 498609/5

Greatest Common Factor of 275,885,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,885,270 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 275,885,270 . The biggest common factor number is the GCF number.
So the greatest common factor 275,885,270 is 5.


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 27/275, 177/885, 313/270

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 27/275, 177/885, 313/270?

Answer: LCM of Numerators as per given numbers 27/275, 177/885, 313/270 is

LCM of Numerators i.e. for 27,177,313 is 498609

GCF of denominators i.e. for 275,885,270 is 5.

Thus, LCM of Fractions is 498609/5.Finally, LCM of Fractions for 27/275, 177/885, 313/270 is 498609/5.