Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2967/117, 9915/8088 quickly i.e. 3268645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2967/117, 9915/8088 is 3268645.
LCM(2967/117, 9915/8088) = 3268645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2967/117,9915/8088
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 2967,9915
Least Common Multiple of Numerators i.e. LCM of 2967,9915 is 9805935.
GCF of Denominators means GCF of 117,8088 as per the given fractions.
GCF of 117,8088 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2967,9915
3 | 2967, 9915 |
989, 3305 |
∴ So the LCM of the given numbers is 3 x 989 x 3305 = 9805935
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 2967,9915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2967,9915) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2967,9915) x common factors =3 x 1 = 3
LCM(2967,9915) = ( 2967 × 9915 ) / 3
LCM(2967,9915) = 29417805 / 3
LCM(2967,9915) = 9805935
Lets's calculate GCF of 117,8088
3 | 117, 8088 |
39, 2696 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9805935/3
Therefore the LCM of Fractions 2967/117,9915/8088 is 3268645
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 8088
List of positive integer factors of 8088 that divides 8088 without a remainder.
1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Greatest Common Factor
We found the factors 117,8088 . The biggest common factor number is the GCF number.
So the greatest common factor 117,8088 is 3.
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 2967/117, 9915/8088?
Answer: LCM of Numerators as per given numbers 2967/117, 9915/8088 is
LCM of Numerators i.e. for 2967,9915 is 9805935
GCF of denominators i.e. for 117,8088 is 3.
Thus, LCM of Fractions is 3268645.Finally, LCM of Fractions for 2967/117, 9915/8088 is 3268645.