Least Common Multiple of 31/82, 51/90, 198/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/82, 51/90, 198/631 quickly i.e. 104346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/82, 51/90, 198/631 is 104346.

LCM(31/82, 51/90, 198/631) = 104346

LCM of 31/82, 51/90, 198/631

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 31/82,51/90,198/631

Given numbers are 31/82,51/90,198/631

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 31,51,198

Least Common Multiple of Numerators i.e. LCM of 31,51,198 is 104346.

GCF of Denominators means GCF of 82,90,631 as per the given fractions.

GCF of 82,90,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,51,198

LCM of Fractions 31/82,51/90,198/631 is 104346

3 31, 51, 198
31, 17, 66

∴ So the LCM of the given numbers is 3 x 31 x 17 x 66 = 104346

Least Common Multiple of 31,51,198 with GCF Formula

Least Common Multiple of 31,51,198 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 31,51,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,51,198) = 1

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

GCF(31,51,198) x common factors =1 x 3 = 3

LCM(31,51,198) = ( 31 × 51 × 198 ) / 3

LCM(31,51,198) = 313038 / 3

LCM(31,51,198) = 104346


Lets's calculate GCF of 82,90,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104346/1

Therefore the LCM of Fractions 31/82,51/90,198/631 is 104346

Greatest Common Factor of 82,90,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,90,631 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 82,90,631 . The biggest common factor number is the GCF number.
So the greatest common factor 82,90,631 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 31/82, 51/90, 198/631

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 31/82, 51/90, 198/631?

Answer: LCM of Numerators as per given numbers 31/82, 51/90, 198/631 is

LCM of Numerators i.e. for 31,51,198 is 104346

GCF of denominators i.e. for 82,90,631 is 1.

Thus, LCM of Fractions is 104346.Finally, LCM of Fractions for 31/82, 51/90, 198/631 is 104346.