Least Common Multiple of 3/20, 46/866, 31/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/20, 46/866, 31/886 quickly i.e. 2139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/20, 46/866, 31/886 is 2139.

LCM(3/20, 46/866, 31/886) = 2139

LCM of 3/20, 46/866, 31/886

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 3/20,46/866,31/886

Given numbers are 3/20,46/866,31/886

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 3,46,31

Least Common Multiple of Numerators i.e. LCM of 3,46,31 is 4278.

GCF of Denominators means GCF of 20,866,886 as per the given fractions.

GCF of 20,866,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,46,31

LCM of Fractions 3/20,46/866,31/886 is 2139

Given numbers has no common factors except 1. So, there LCM is their product i.e 4278

Least Common Multiple of 3,46,31 with GCF Formula

Least Common Multiple of 3,46,31 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 3,46,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,46,31) = 1

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

GCF(3,46,31) x common factors =1 x 1 = 1

LCM(3,46,31) = ( 3 × 46 × 31 ) / 1

LCM(3,46,31) = 4278 / 1

LCM(3,46,31) = 4278


Lets's calculate GCF of 20,866,886

2 20, 866, 886
10, 433, 443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4278/2

Therefore the LCM of Fractions 3/20,46/866,31/886 is 2139

Greatest Common Factor of 20,866,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,866,886 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 20,866,886 . The biggest common factor number is the GCF number.
So the greatest common factor 20,866,886 is 2.


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 3/20, 46/866, 31/886

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 3/20, 46/866, 31/886?

Answer: LCM of Numerators as per given numbers 3/20, 46/866, 31/886 is

LCM of Numerators i.e. for 3,46,31 is 4278

GCF of denominators i.e. for 20,866,886 is 2.

Thus, LCM of Fractions is 2139.Finally, LCM of Fractions for 3/20, 46/866, 31/886 is 2139.