Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 772/64, 568/9857 quickly i.e. 109624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 772/64, 568/9857 is 109624.
LCM(772/64, 568/9857) = 109624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 772/64,568/9857
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 772,568
Least Common Multiple of Numerators i.e. LCM of 772,568 is 109624.
GCF of Denominators means GCF of 64,9857 as per the given fractions.
GCF of 64,9857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 772,568
2 | 772, 568 |
2 | 386, 284 |
193, 142 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 142 = 109624
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 772,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,568) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,568) x common factors =4 x 1 = 4
LCM(772,568) = ( 772 × 568 ) / 4
LCM(772,568) = 438496 / 4
LCM(772,568) = 109624
Lets's calculate GCF of 64,9857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109624/1
Therefore the LCM of Fractions 772/64,568/9857 is 109624
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 9857
List of positive integer factors of 9857 that divides 9857 without a remainder.
1,9857
Greatest Common Factor
We found the factors 64,9857 . The biggest common factor number is the GCF number.
So the greatest common factor 64,9857 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 772/64, 568/9857?
Answer: LCM of Numerators as per given numbers 772/64, 568/9857 is
LCM of Numerators i.e. for 772,568 is 109624
GCF of denominators i.e. for 64,9857 is 1.
Thus, LCM of Fractions is 109624.Finally, LCM of Fractions for 772/64, 568/9857 is 109624.