Least Common Multiple of 20/360, 41/394, 493/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/360, 41/394, 493/982 quickly i.e. 202130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/360, 41/394, 493/982 is 202130.

LCM(20/360, 41/394, 493/982) = 202130

LCM of 20/360, 41/394, 493/982

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 20/360,41/394,493/982

Given numbers are 20/360,41/394,493/982

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 20,41,493

Least Common Multiple of Numerators i.e. LCM of 20,41,493 is 404260.

GCF of Denominators means GCF of 360,394,982 as per the given fractions.

GCF of 360,394,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,41,493

LCM of Fractions 20/360,41/394,493/982 is 202130

Given numbers has no common factors except 1. So, there LCM is their product i.e 404260

Least Common Multiple of 20,41,493 with GCF Formula

Least Common Multiple of 20,41,493 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 20,41,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,41,493) = 1

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

GCF(20,41,493) x common factors =1 x 1 = 1

LCM(20,41,493) = ( 20 × 41 × 493 ) / 1

LCM(20,41,493) = 404260 / 1

LCM(20,41,493) = 404260


Lets's calculate GCF of 360,394,982

2 360, 394, 982
180, 197, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404260/2

Therefore the LCM of Fractions 20/360,41/394,493/982 is 202130

Greatest Common Factor of 360,394,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,394,982 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 360,394,982 . The biggest common factor number is the GCF number.
So the greatest common factor 360,394,982 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 20/360, 41/394, 493/982

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 20/360, 41/394, 493/982?

Answer: LCM of Numerators as per given numbers 20/360, 41/394, 493/982 is

LCM of Numerators i.e. for 20,41,493 is 404260

GCF of denominators i.e. for 360,394,982 is 2.

Thus, LCM of Fractions is 202130.Finally, LCM of Fractions for 20/360, 41/394, 493/982 is 202130.