Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8835/461, 2897/1615 quickly i.e. 25594995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8835/461, 2897/1615 is 25594995.
LCM(8835/461, 2897/1615) = 25594995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8835/461,2897/1615
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 8835,2897
Least Common Multiple of Numerators i.e. LCM of 8835,2897 is 25594995.
GCF of Denominators means GCF of 461,1615 as per the given fractions.
GCF of 461,1615 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8835,2897
Given numbers has no common factors except 1. So, there LCM is their product i.e 25594995
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 8835,2897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8835,2897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8835,2897) x common factors =1 x 1 = 1
LCM(8835,2897) = ( 8835 × 2897 ) / 1
LCM(8835,2897) = 25594995 / 1
LCM(8835,2897) = 25594995
Lets's calculate GCF of 461,1615
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25594995/1
Therefore the LCM of Fractions 8835/461,2897/1615 is 25594995
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 1615
List of positive integer factors of 1615 that divides 1615 without a remainder.
1,5,17,19,85,95,323,1615
Greatest Common Factor
We found the factors 461,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 461,1615 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 8835/461, 2897/1615?
Answer: LCM of Numerators as per given numbers 8835/461, 2897/1615 is
LCM of Numerators i.e. for 8835,2897 is 25594995
GCF of denominators i.e. for 461,1615 is 1.
Thus, LCM of Fractions is 25594995.Finally, LCM of Fractions for 8835/461, 2897/1615 is 25594995.