Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9279/606, 9594/3293 quickly i.e. 9891414 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9279/606, 9594/3293 is 9891414.
LCM(9279/606, 9594/3293) = 9891414
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9279/606,9594/3293
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 9279,9594
Least Common Multiple of Numerators i.e. LCM of 9279,9594 is 9891414.
GCF of Denominators means GCF of 606,3293 as per the given fractions.
GCF of 606,3293 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9279,9594
3 | 9279, 9594 |
3 | 3093, 3198 |
1031, 1066 |
∴ So the LCM of the given numbers is 3 x 3 x 1031 x 1066 = 9891414
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 9279,9594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9279,9594) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(9279,9594) x common factors =9 x 1 = 9
LCM(9279,9594) = ( 9279 × 9594 ) / 9
LCM(9279,9594) = 89022726 / 9
LCM(9279,9594) = 9891414
Lets's calculate GCF of 606,3293
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9891414/1
Therefore the LCM of Fractions 9279/606,9594/3293 is 9891414
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 3293
List of positive integer factors of 3293 that divides 3293 without a remainder.
1,37,89,3293
Greatest Common Factor
We found the factors 606,3293 . The biggest common factor number is the GCF number.
So the greatest common factor 606,3293 is 1.
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 9279/606, 9594/3293?
Answer: LCM of Numerators as per given numbers 9279/606, 9594/3293 is
LCM of Numerators i.e. for 9279,9594 is 9891414
GCF of denominators i.e. for 606,3293 is 1.
Thus, LCM of Fractions is 9891414.Finally, LCM of Fractions for 9279/606, 9594/3293 is 9891414.