Least Common Multiple of 40/81, 84/36, 31/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/81, 84/36, 31/330 quickly i.e. 8680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/81, 84/36, 31/330 is 8680.

LCM(40/81, 84/36, 31/330) = 8680

LCM of 40/81, 84/36, 31/330

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 40/81,84/36,31/330

Given numbers are 40/81,84/36,31/330

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 40,84,31

Least Common Multiple of Numerators i.e. LCM of 40,84,31 is 26040.

GCF of Denominators means GCF of 81,36,330 as per the given fractions.

GCF of 81,36,330 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,84,31

LCM of Fractions 40/81,84/36,31/330 is 8680

2 40, 84, 31
2 20, 42, 31
10, 21, 31

∴ So the LCM of the given numbers is 2 x 2 x 10 x 21 x 31 = 26040

Least Common Multiple of 40,84,31 with GCF Formula

Least Common Multiple of 40,84,31 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 40,84,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,84,31) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,84,31) x common factors =1 x 4 = 4

LCM(40,84,31) = ( 40 × 84 × 31 ) / 4

LCM(40,84,31) = 104160 / 4

LCM(40,84,31) = 26040


Lets's calculate GCF of 81,36,330

3 81, 36, 330
27, 12, 110

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26040/3

Therefore the LCM of Fractions 40/81,84/36,31/330 is 8680

Greatest Common Factor of 81,36,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,36,330 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 81,36,330 . The biggest common factor number is the GCF number.
So the greatest common factor 81,36,330 is 3.


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 40/81, 84/36, 31/330

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 40/81, 84/36, 31/330?

Answer: LCM of Numerators as per given numbers 40/81, 84/36, 31/330 is

LCM of Numerators i.e. for 40,84,31 is 26040

GCF of denominators i.e. for 81,36,330 is 3.

Thus, LCM of Fractions is 8680.Finally, LCM of Fractions for 40/81, 84/36, 31/330 is 8680.