Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/797, 568/589, 852/722 quickly i.e. 25560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/797, 568/589, 852/722 is 25560.
LCM(45/797, 568/589, 852/722) = 25560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/797,568/589,852/722
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 45,568,852
Least Common Multiple of Numerators i.e. LCM of 45,568,852 is 25560.
GCF of Denominators means GCF of 797,589,722 as per the given fractions.
GCF of 797,589,722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,568,852
2 | 45, 568, 852 |
2 | 45, 284, 426 |
3 | 45, 142, 213 |
71 | 15, 142, 71 |
15, 2, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 15 x 2 x 1 = 25560
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 45,568,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,568,852) = 1
common factors(in case of two or more numbers have common factors) = 852
GCF(45,568,852) x common factors =1 x 852 = 852
LCM(45,568,852) = ( 45 × 568 × 852 ) / 852
LCM(45,568,852) = 21777120 / 852
LCM(45,568,852) = 25560
Lets's calculate GCF of 797,589,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25560/1
Therefore the LCM of Fractions 45/797,568/589,852/722 is 25560
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 797,589,722 . The biggest common factor number is the GCF number.
So the greatest common factor 797,589,722 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 45/797, 568/589, 852/722?
Answer: LCM of Numerators as per given numbers 45/797, 568/589, 852/722 is
LCM of Numerators i.e. for 45,568,852 is 25560
GCF of denominators i.e. for 797,589,722 is 1.
Thus, LCM of Fractions is 25560.Finally, LCM of Fractions for 45/797, 568/589, 852/722 is 25560.