Least Common Multiple of 31/849, 15/655, 111/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/849, 15/655, 111/198 quickly i.e. 17205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/849, 15/655, 111/198 is 17205.

LCM(31/849, 15/655, 111/198) = 17205

LCM of 31/849, 15/655, 111/198

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 31/849,15/655,111/198

Given numbers are 31/849,15/655,111/198

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 31,15,111

Least Common Multiple of Numerators i.e. LCM of 31,15,111 is 17205.

GCF of Denominators means GCF of 849,655,198 as per the given fractions.

GCF of 849,655,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,15,111

LCM of Fractions 31/849,15/655,111/198 is 17205

3 31, 15, 111
31, 5, 37

∴ So the LCM of the given numbers is 3 x 31 x 5 x 37 = 17205

Least Common Multiple of 31,15,111 with GCF Formula

Least Common Multiple of 31,15,111 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 31,15,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,15,111) = 1

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

GCF(31,15,111) x common factors =1 x 3 = 3

LCM(31,15,111) = ( 31 × 15 × 111 ) / 3

LCM(31,15,111) = 51615 / 3

LCM(31,15,111) = 17205


Lets's calculate GCF of 849,655,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17205/1

Therefore the LCM of Fractions 31/849,15/655,111/198 is 17205

Greatest Common Factor of 849,655,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,655,198 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 849,655,198 . The biggest common factor number is the GCF number.
So the greatest common factor 849,655,198 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 31/849, 15/655, 111/198

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 31/849, 15/655, 111/198?

Answer: LCM of Numerators as per given numbers 31/849, 15/655, 111/198 is

LCM of Numerators i.e. for 31,15,111 is 17205

GCF of denominators i.e. for 849,655,198 is 1.

Thus, LCM of Fractions is 17205.Finally, LCM of Fractions for 31/849, 15/655, 111/198 is 17205.