Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 717/334, 9111/9172 quickly i.e. 2177529/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 717/334, 9111/9172 is 2177529/2.
LCM(717/334, 9111/9172) = 2177529/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 717/334,9111/9172
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 717,9111
Least Common Multiple of Numerators i.e. LCM of 717,9111 is 2177529.
GCF of Denominators means GCF of 334,9172 as per the given fractions.
GCF of 334,9172 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 717,9111
3 | 717, 9111 |
239, 3037 |
∴ So the LCM of the given numbers is 3 x 239 x 3037 = 2177529
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 717,9111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,9111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,9111) x common factors =3 x 1 = 3
LCM(717,9111) = ( 717 × 9111 ) / 3
LCM(717,9111) = 6532587 / 3
LCM(717,9111) = 2177529
Lets's calculate GCF of 334,9172
2 | 334, 9172 |
167, 4586 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2177529/2
Therefore the LCM of Fractions 717/334,9111/9172 is 2177529/2
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 9172
List of positive integer factors of 9172 that divides 9172 without a remainder.
1,2,4,2293,4586,9172
Greatest Common Factor
We found the factors 334,9172 . The biggest common factor number is the GCF number.
So the greatest common factor 334,9172 is 2.
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 717/334, 9111/9172?
Answer: LCM of Numerators as per given numbers 717/334, 9111/9172 is
LCM of Numerators i.e. for 717,9111 is 2177529
GCF of denominators i.e. for 334,9172 is 2.
Thus, LCM of Fractions is 2177529/2.Finally, LCM of Fractions for 717/334, 9111/9172 is 2177529/2.