Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/25, 776/72, 806/118 quickly i.e. 1563640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/25, 776/72, 806/118 is 1563640.
LCM(20/25, 776/72, 806/118) = 1563640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/25,776/72,806/118
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 20,776,806
Least Common Multiple of Numerators i.e. LCM of 20,776,806 is 1563640.
GCF of Denominators means GCF of 25,72,118 as per the given fractions.
GCF of 25,72,118 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,776,806
2 | 20, 776, 806 |
2 | 10, 388, 403 |
5, 194, 403 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 194 x 403 = 1563640
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 20,776,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,776,806) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(20,776,806) x common factors =2 x 4 = 8
LCM(20,776,806) = ( 20 × 776 × 806 ) / 8
LCM(20,776,806) = 12509120 / 8
LCM(20,776,806) = 1563640
Lets's calculate GCF of 25,72,118
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1563640/1
Therefore the LCM of Fractions 20/25,776/72,806/118 is 1563640
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 25,72,118 . The biggest common factor number is the GCF number.
So the greatest common factor 25,72,118 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 20/25, 776/72, 806/118?
Answer: LCM of Numerators as per given numbers 20/25, 776/72, 806/118 is
LCM of Numerators i.e. for 20,776,806 is 1563640
GCF of denominators i.e. for 25,72,118 is 1.
Thus, LCM of Fractions is 1563640.Finally, LCM of Fractions for 20/25, 776/72, 806/118 is 1563640.