Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9668/666, 3007/513 quickly i.e. 29071676/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9668/666, 3007/513 is 29071676/9.
LCM(9668/666, 3007/513) = 29071676/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9668/666,3007/513
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 9668,3007
Least Common Multiple of Numerators i.e. LCM of 9668,3007 is 29071676.
GCF of Denominators means GCF of 666,513 as per the given fractions.
GCF of 666,513 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9668,3007
Given numbers has no common factors except 1. So, there LCM is their product i.e 29071676
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 9668,3007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9668,3007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9668,3007) x common factors =1 x 1 = 1
LCM(9668,3007) = ( 9668 × 3007 ) / 1
LCM(9668,3007) = 29071676 / 1
LCM(9668,3007) = 29071676
Lets's calculate GCF of 666,513
3 | 666, 513 |
3 | 222, 171 |
74, 57 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29071676/9
Therefore the LCM of Fractions 9668/666,3007/513 is 29071676/9
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 666,513 . The biggest common factor number is the GCF number.
So the greatest common factor 666,513 is 9.
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 9668/666, 3007/513?
Answer: LCM of Numerators as per given numbers 9668/666, 3007/513 is
LCM of Numerators i.e. for 9668,3007 is 29071676
GCF of denominators i.e. for 666,513 is 9.
Thus, LCM of Fractions is 29071676/9.Finally, LCM of Fractions for 9668/666, 3007/513 is 29071676/9.