Least Common Multiple of 27/104, 418/998, 227/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/104, 418/998, 227/318 quickly i.e. 1280961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/104, 418/998, 227/318 is 1280961.

LCM(27/104, 418/998, 227/318) = 1280961

LCM of 27/104, 418/998, 227/318

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 27/104,418/998,227/318

Given numbers are 27/104,418/998,227/318

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 27,418,227

Least Common Multiple of Numerators i.e. LCM of 27,418,227 is 2561922.

GCF of Denominators means GCF of 104,998,318 as per the given fractions.

GCF of 104,998,318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,418,227

LCM of Fractions 27/104,418/998,227/318 is 1280961

Given numbers has no common factors except 1. So, there LCM is their product i.e 2561922

Least Common Multiple of 27,418,227 with GCF Formula

Least Common Multiple of 27,418,227 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 27,418,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,418,227) = 1

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

GCF(27,418,227) x common factors =1 x 1 = 1

LCM(27,418,227) = ( 27 × 418 × 227 ) / 1

LCM(27,418,227) = 2561922 / 1

LCM(27,418,227) = 2561922


Lets's calculate GCF of 104,998,318

2 104, 998, 318
52, 499, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2561922/2

Therefore the LCM of Fractions 27/104,418/998,227/318 is 1280961

Greatest Common Factor of 104,998,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,998,318 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 104,998,318 . The biggest common factor number is the GCF number.
So the greatest common factor 104,998,318 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/104, 418/998, 227/318

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 27/104, 418/998, 227/318?

Answer: LCM of Numerators as per given numbers 27/104, 418/998, 227/318 is

LCM of Numerators i.e. for 27,418,227 is 2561922

GCF of denominators i.e. for 104,998,318 is 2.

Thus, LCM of Fractions is 1280961.Finally, LCM of Fractions for 27/104, 418/998, 227/318 is 1280961.