Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8765/536, 4763/8091 quickly i.e. 41747695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8765/536, 4763/8091 is 41747695.
LCM(8765/536, 4763/8091) = 41747695
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8765/536,4763/8091
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 8765,4763
Least Common Multiple of Numerators i.e. LCM of 8765,4763 is 41747695.
GCF of Denominators means GCF of 536,8091 as per the given fractions.
GCF of 536,8091 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8765,4763
Given numbers has no common factors except 1. So, there LCM is their product i.e 41747695
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 8765,4763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8765,4763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8765,4763) x common factors =1 x 1 = 1
LCM(8765,4763) = ( 8765 × 4763 ) / 1
LCM(8765,4763) = 41747695 / 1
LCM(8765,4763) = 41747695
Lets's calculate GCF of 536,8091
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41747695/1
Therefore the LCM of Fractions 8765/536,4763/8091 is 41747695
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 8091
List of positive integer factors of 8091 that divides 8091 without a remainder.
1,3,9,29,31,87,93,261,279,899,2697,8091
Greatest Common Factor
We found the factors 536,8091 . The biggest common factor number is the GCF number.
So the greatest common factor 536,8091 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 8765/536, 4763/8091?
Answer: LCM of Numerators as per given numbers 8765/536, 4763/8091 is
LCM of Numerators i.e. for 8765,4763 is 41747695
GCF of denominators i.e. for 536,8091 is 1.
Thus, LCM of Fractions is 41747695.Finally, LCM of Fractions for 8765/536, 4763/8091 is 41747695.