Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 845/86, 568/8285 quickly i.e. 479960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 845/86, 568/8285 is 479960.
LCM(845/86, 568/8285) = 479960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 845/86,568/8285
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 845,568
Least Common Multiple of Numerators i.e. LCM of 845,568 is 479960.
GCF of Denominators means GCF of 86,8285 as per the given fractions.
GCF of 86,8285 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 845,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 479960
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 845,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,568) x common factors =1 x 1 = 1
LCM(845,568) = ( 845 × 568 ) / 1
LCM(845,568) = 479960 / 1
LCM(845,568) = 479960
Lets's calculate GCF of 86,8285
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479960/1
Therefore the LCM of Fractions 845/86,568/8285 is 479960
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 8285
List of positive integer factors of 8285 that divides 8285 without a remainder.
1,5,1657,8285
Greatest Common Factor
We found the factors 86,8285 . The biggest common factor number is the GCF number.
So the greatest common factor 86,8285 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 845/86, 568/8285?
Answer: LCM of Numerators as per given numbers 845/86, 568/8285 is
LCM of Numerators i.e. for 845,568 is 479960
GCF of denominators i.e. for 86,8285 is 1.
Thus, LCM of Fractions is 479960.Finally, LCM of Fractions for 845/86, 568/8285 is 479960.