Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7116/964, 8883/8868 quickly i.e. 5267619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7116/964, 8883/8868 is 5267619.
LCM(7116/964, 8883/8868) = 5267619
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7116/964,8883/8868
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 7116,8883
Least Common Multiple of Numerators i.e. LCM of 7116,8883 is 21070476.
GCF of Denominators means GCF of 964,8868 as per the given fractions.
GCF of 964,8868 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7116,8883
3 | 7116, 8883 |
2372, 2961 |
∴ So the LCM of the given numbers is 3 x 2372 x 2961 = 21070476
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 7116,8883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7116,8883) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7116,8883) x common factors =3 x 1 = 3
LCM(7116,8883) = ( 7116 × 8883 ) / 3
LCM(7116,8883) = 63211428 / 3
LCM(7116,8883) = 21070476
Lets's calculate GCF of 964,8868
2 | 964, 8868 |
2 | 482, 4434 |
241, 2217 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21070476/4
Therefore the LCM of Fractions 7116/964,8883/8868 is 5267619
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 8868
List of positive integer factors of 8868 that divides 8868 without a remainder.
1,2,3,4,6,12,739,1478,2217,2956,4434,8868
Greatest Common Factor
We found the factors 964,8868 . The biggest common factor number is the GCF number.
So the greatest common factor 964,8868 is 4.
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 7116/964, 8883/8868?
Answer: LCM of Numerators as per given numbers 7116/964, 8883/8868 is
LCM of Numerators i.e. for 7116,8883 is 21070476
GCF of denominators i.e. for 964,8868 is 4.
Thus, LCM of Fractions is 5267619.Finally, LCM of Fractions for 7116/964, 8883/8868 is 5267619.