Least Common Multiple of 27/27, 335/29, 361/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/27, 335/29, 361/722 quickly i.e. 3265245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/27, 335/29, 361/722 is 3265245.

LCM(27/27, 335/29, 361/722) = 3265245

LCM of 27/27, 335/29, 361/722

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 27/27,335/29,361/722

Given numbers are 27/27,335/29,361/722

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 27,335,361

Least Common Multiple of Numerators i.e. LCM of 27,335,361 is 3265245.

GCF of Denominators means GCF of 27,29,722 as per the given fractions.

GCF of 27,29,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,335,361

LCM of Fractions 27/27,335/29,361/722 is 3265245

Given numbers has no common factors except 1. So, there LCM is their product i.e 3265245

Least Common Multiple of 27,335,361 with GCF Formula

Least Common Multiple of 27,335,361 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 27,335,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,335,361) = 1

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

GCF(27,335,361) x common factors =1 x 1 = 1

LCM(27,335,361) = ( 27 × 335 × 361 ) / 1

LCM(27,335,361) = 3265245 / 1

LCM(27,335,361) = 3265245


Lets's calculate GCF of 27,29,722

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3265245/1

Therefore the LCM of Fractions 27/27,335/29,361/722 is 3265245

Greatest Common Factor of 27,29,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,29,722 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 27,29,722 . The biggest common factor number is the GCF number.
So the greatest common factor 27,29,722 is 1.


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 27/27, 335/29, 361/722

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 27/27, 335/29, 361/722?

Answer: LCM of Numerators as per given numbers 27/27, 335/29, 361/722 is

LCM of Numerators i.e. for 27,335,361 is 3265245

GCF of denominators i.e. for 27,29,722 is 1.

Thus, LCM of Fractions is 3265245.Finally, LCM of Fractions for 27/27, 335/29, 361/722 is 3265245.