Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/505, 33/618, 940/790 quickly i.e. 31020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/505, 33/618, 940/790 is 31020.
LCM(20/505, 33/618, 940/790) = 31020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/505,33/618,940/790
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 20,33,940
Least Common Multiple of Numerators i.e. LCM of 20,33,940 is 31020.
GCF of Denominators means GCF of 505,618,790 as per the given fractions.
GCF of 505,618,790 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,33,940
2 | 20, 33, 940 |
2 | 10, 33, 470 |
5 | 5, 33, 235 |
1, 33, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 33 x 47 = 31020
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 20,33,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,33,940) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,33,940) x common factors =1 x 20 = 20
LCM(20,33,940) = ( 20 × 33 × 940 ) / 20
LCM(20,33,940) = 620400 / 20
LCM(20,33,940) = 31020
Lets's calculate GCF of 505,618,790
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31020/1
Therefore the LCM of Fractions 20/505,33/618,940/790 is 31020
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Greatest Common Factor
We found the factors 505,618,790 . The biggest common factor number is the GCF number.
So the greatest common factor 505,618,790 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 20/505, 33/618, 940/790?
Answer: LCM of Numerators as per given numbers 20/505, 33/618, 940/790 is
LCM of Numerators i.e. for 20,33,940 is 31020
GCF of denominators i.e. for 505,618,790 is 1.
Thus, LCM of Fractions is 31020.Finally, LCM of Fractions for 20/505, 33/618, 940/790 is 31020.