Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9718/918, 8809/7625 quickly i.e. 85605862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9718/918, 8809/7625 is 85605862.
LCM(9718/918, 8809/7625) = 85605862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9718/918,8809/7625
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 9718,8809
Least Common Multiple of Numerators i.e. LCM of 9718,8809 is 85605862.
GCF of Denominators means GCF of 918,7625 as per the given fractions.
GCF of 918,7625 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9718,8809
Given numbers has no common factors except 1. So, there LCM is their product i.e 85605862
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 9718,8809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9718,8809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9718,8809) x common factors =1 x 1 = 1
LCM(9718,8809) = ( 9718 × 8809 ) / 1
LCM(9718,8809) = 85605862 / 1
LCM(9718,8809) = 85605862
Lets's calculate GCF of 918,7625
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85605862/1
Therefore the LCM of Fractions 9718/918,8809/7625 is 85605862
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 7625
List of positive integer factors of 7625 that divides 7625 without a remainder.
1,5,25,61,125,305,1525,7625
Greatest Common Factor
We found the factors 918,7625 . The biggest common factor number is the GCF number.
So the greatest common factor 918,7625 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 9718/918, 8809/7625?
Answer: LCM of Numerators as per given numbers 9718/918, 8809/7625 is
LCM of Numerators i.e. for 9718,8809 is 85605862
GCF of denominators i.e. for 918,7625 is 1.
Thus, LCM of Fractions is 85605862.Finally, LCM of Fractions for 9718/918, 8809/7625 is 85605862.