Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/25, 806/18, 845/680 quickly i.e. 52390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/25, 806/18, 845/680 is 52390.
LCM(10/25, 806/18, 845/680) = 52390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/25,806/18,845/680
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 10,806,845
Least Common Multiple of Numerators i.e. LCM of 10,806,845 is 52390.
GCF of Denominators means GCF of 25,18,680 as per the given fractions.
GCF of 25,18,680 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,806,845
2 | 10, 806, 845 |
5 | 5, 403, 845 |
13 | 1, 403, 169 |
1, 31, 13 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 31 x 13 = 52390
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 10,806,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,806,845) = 1
common factors(in case of two or more numbers have common factors) = 130
GCF(10,806,845) x common factors =1 x 130 = 130
LCM(10,806,845) = ( 10 × 806 × 845 ) / 130
LCM(10,806,845) = 6810700 / 130
LCM(10,806,845) = 52390
Lets's calculate GCF of 25,18,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52390/1
Therefore the LCM of Fractions 10/25,806/18,845/680 is 52390
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 25,18,680 . The biggest common factor number is the GCF number.
So the greatest common factor 25,18,680 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 10/25, 806/18, 845/680?
Answer: LCM of Numerators as per given numbers 10/25, 806/18, 845/680 is
LCM of Numerators i.e. for 10,806,845 is 52390
GCF of denominators i.e. for 25,18,680 is 1.
Thus, LCM of Fractions is 52390.Finally, LCM of Fractions for 10/25, 806/18, 845/680 is 52390.