Least Common Multiple of 27/314, 658/819, 187/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/314, 658/819, 187/868 quickly i.e. 3322242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/314, 658/819, 187/868 is 3322242.

LCM(27/314, 658/819, 187/868) = 3322242

LCM of 27/314, 658/819, 187/868

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 27/314,658/819,187/868

Given numbers are 27/314,658/819,187/868

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 27,658,187

Least Common Multiple of Numerators i.e. LCM of 27,658,187 is 3322242.

GCF of Denominators means GCF of 314,819,868 as per the given fractions.

GCF of 314,819,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,658,187

LCM of Fractions 27/314,658/819,187/868 is 3322242

Given numbers has no common factors except 1. So, there LCM is their product i.e 3322242

Least Common Multiple of 27,658,187 with GCF Formula

Least Common Multiple of 27,658,187 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 27,658,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,658,187) = 1

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

GCF(27,658,187) x common factors =1 x 1 = 1

LCM(27,658,187) = ( 27 × 658 × 187 ) / 1

LCM(27,658,187) = 3322242 / 1

LCM(27,658,187) = 3322242


Lets's calculate GCF of 314,819,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3322242/1

Therefore the LCM of Fractions 27/314,658/819,187/868 is 3322242

Greatest Common Factor of 314,819,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,819,868 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 314,819,868 . The biggest common factor number is the GCF number.
So the greatest common factor 314,819,868 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 27/314, 658/819, 187/868

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 27/314, 658/819, 187/868?

Answer: LCM of Numerators as per given numbers 27/314, 658/819, 187/868 is

LCM of Numerators i.e. for 27,658,187 is 3322242

GCF of denominators i.e. for 314,819,868 is 1.

Thus, LCM of Fractions is 3322242.Finally, LCM of Fractions for 27/314, 658/819, 187/868 is 3322242.