Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9217/184, 1727/8968 quickly i.e. 15917759/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9217/184, 1727/8968 is 15917759/8.
LCM(9217/184, 1727/8968) = 15917759/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9217/184,1727/8968
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 9217,1727
Least Common Multiple of Numerators i.e. LCM of 9217,1727 is 15917759.
GCF of Denominators means GCF of 184,8968 as per the given fractions.
GCF of 184,8968 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9217,1727
Given numbers has no common factors except 1. So, there LCM is their product i.e 15917759
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 9217,1727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9217,1727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9217,1727) x common factors =1 x 1 = 1
LCM(9217,1727) = ( 9217 × 1727 ) / 1
LCM(9217,1727) = 15917759 / 1
LCM(9217,1727) = 15917759
Lets's calculate GCF of 184,8968
2 | 184, 8968 |
2 | 92, 4484 |
2 | 46, 2242 |
23, 1121 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15917759/8
Therefore the LCM of Fractions 9217/184,1727/8968 is 15917759/8
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 8968
List of positive integer factors of 8968 that divides 8968 without a remainder.
1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Greatest Common Factor
We found the factors 184,8968 . The biggest common factor number is the GCF number.
So the greatest common factor 184,8968 is 8.
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 9217/184, 1727/8968?
Answer: LCM of Numerators as per given numbers 9217/184, 1727/8968 is
LCM of Numerators i.e. for 9217,1727 is 15917759
GCF of denominators i.e. for 184,8968 is 8.
Thus, LCM of Fractions is 15917759/8.Finally, LCM of Fractions for 9217/184, 1727/8968 is 15917759/8.