Least Common Multiple of 40/82, 60/12, 20/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/82, 60/12, 20/13 quickly i.e. 120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/82, 60/12, 20/13 is 120.

LCM(40/82, 60/12, 20/13) = 120

LCM of 40/82, 60/12, 20/13

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 40/82,60/12,20/13

Given numbers are 40/82,60/12,20/13

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 40,60,20

Least Common Multiple of Numerators i.e. LCM of 40,60,20 is 120.

GCF of Denominators means GCF of 82,12,13 as per the given fractions.

GCF of 82,12,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,60,20

LCM of Fractions 40/82,60/12,20/13 is 120

2 40, 60, 20
2 20, 30, 10
5 5, 15, 10
1, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 3 x 2 = 120

Least Common Multiple of 40,60,20 with GCF Formula

Least Common Multiple of 40,60,20 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 40,60,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,60,20) = 20

common factors(in case of two or more numbers have common factors) = 20

GCF(40,60,20) x common factors =20 x 20 = 400

LCM(40,60,20) = ( 40 × 60 × 20 ) / 400

LCM(40,60,20) = 48000 / 400

LCM(40,60,20) = 120


Lets's calculate GCF of 82,12,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120/1

Therefore the LCM of Fractions 40/82,60/12,20/13 is 120

Greatest Common Factor of 82,12,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,12,13 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 12

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

1,2,3,4,6,12

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 82,12,13 . The biggest common factor number is the GCF number.
So the greatest common factor 82,12,13 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 40/82, 60/12, 20/13

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 40/82, 60/12, 20/13?

Answer: LCM of Numerators as per given numbers 40/82, 60/12, 20/13 is

LCM of Numerators i.e. for 40,60,20 is 120

GCF of denominators i.e. for 82,12,13 is 1.

Thus, LCM of Fractions is 120.Finally, LCM of Fractions for 40/82, 60/12, 20/13 is 120.