Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8987/961, 8200/9505 quickly i.e. 73693400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8987/961, 8200/9505 is 73693400.
LCM(8987/961, 8200/9505) = 73693400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8987/961,8200/9505
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 8987,8200
Least Common Multiple of Numerators i.e. LCM of 8987,8200 is 73693400.
GCF of Denominators means GCF of 961,9505 as per the given fractions.
GCF of 961,9505 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8987,8200
Given numbers has no common factors except 1. So, there LCM is their product i.e 73693400
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 8987,8200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8987,8200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8987,8200) x common factors =1 x 1 = 1
LCM(8987,8200) = ( 8987 × 8200 ) / 1
LCM(8987,8200) = 73693400 / 1
LCM(8987,8200) = 73693400
Lets's calculate GCF of 961,9505
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73693400/1
Therefore the LCM of Fractions 8987/961,8200/9505 is 73693400
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 9505
List of positive integer factors of 9505 that divides 9505 without a remainder.
1,5,1901,9505
Greatest Common Factor
We found the factors 961,9505 . The biggest common factor number is the GCF number.
So the greatest common factor 961,9505 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 8987/961, 8200/9505?
Answer: LCM of Numerators as per given numbers 8987/961, 8200/9505 is
LCM of Numerators i.e. for 8987,8200 is 73693400
GCF of denominators i.e. for 961,9505 is 1.
Thus, LCM of Fractions is 73693400.Finally, LCM of Fractions for 8987/961, 8200/9505 is 73693400.