Least Common Multiple of 40/15, 24/27, 12/30, 31/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/15, 24/27, 12/30, 31/12 quickly i.e. 1240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/15, 24/27, 12/30, 31/12 is 1240.

LCM(40/15, 24/27, 12/30, 31/12) = 1240

LCM of 40/15, 24/27, 12/30, 31/12

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 40/15,24/27,12/30,31/12

Given numbers are 40/15,24/27,12/30,31/12

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 40,24,12,31

Least Common Multiple of Numerators i.e. LCM of 40,24,12,31 is 3720.

GCF of Denominators means GCF of 15,27,30,12 as per the given fractions.

GCF of 15,27,30,12 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,24,12,31

LCM of Fractions 40/15,24/27,12/30,31/12 is 1240

2 40, 24, 12, 31
2 20, 12, 6, 31
2 10, 3, 6, 31
3 5, 3, 3, 31
5, 1, 1, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 1 x 31 = 3720

Least Common Multiple of 40,24,12,31 with GCF Formula

Least Common Multiple of 40,24,12,31 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 40,24,12,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,24,12,31) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(40,24,12,31) x common factors =1 x 96 = 96

LCM(40,24,12,31) = ( 40 × 24 × 12 × 31 ) / 96

LCM(40,24,12,31) = 357120 / 96

LCM(40,24,12,31) = 3720


Lets's calculate GCF of 15,27,30,12

3 15, 27, 30, 12
5, 9, 10, 4

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3720/3

Therefore the LCM of Fractions 40/15,24/27,12/30,31/12 is 1240

Greatest Common Factor of 15,27,30,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,27,30,12 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 15,27,30,12 . The biggest common factor number is the GCF number.
So the greatest common factor 15,27,30,12 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 40/15, 24/27, 12/30, 31/12

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 40/15, 24/27, 12/30, 31/12?

Answer: LCM of Numerators as per given numbers 40/15, 24/27, 12/30, 31/12 is

LCM of Numerators i.e. for 40,24,12,31 is 3720

GCF of denominators i.e. for 15,27,30,12 is 3.

Thus, LCM of Fractions is 1240.Finally, LCM of Fractions for 40/15, 24/27, 12/30, 31/12 is 1240.