Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 906/394, 9411/9461 quickly i.e. 2842122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 906/394, 9411/9461 is 2842122.
LCM(906/394, 9411/9461) = 2842122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 906/394,9411/9461
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 906,9411
Least Common Multiple of Numerators i.e. LCM of 906,9411 is 2842122.
GCF of Denominators means GCF of 394,9461 as per the given fractions.
GCF of 394,9461 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 906,9411
3 | 906, 9411 |
302, 3137 |
∴ So the LCM of the given numbers is 3 x 302 x 3137 = 2842122
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 906,9411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,9411) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(906,9411) x common factors =3 x 1 = 3
LCM(906,9411) = ( 906 × 9411 ) / 3
LCM(906,9411) = 8526366 / 3
LCM(906,9411) = 2842122
Lets's calculate GCF of 394,9461
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2842122/1
Therefore the LCM of Fractions 906/394,9411/9461 is 2842122
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 9461
List of positive integer factors of 9461 that divides 9461 without a remainder.
1,9461
Greatest Common Factor
We found the factors 394,9461 . The biggest common factor number is the GCF number.
So the greatest common factor 394,9461 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 906/394, 9411/9461?
Answer: LCM of Numerators as per given numbers 906/394, 9411/9461 is
LCM of Numerators i.e. for 906,9411 is 2842122
GCF of denominators i.e. for 394,9461 is 1.
Thus, LCM of Fractions is 2842122.Finally, LCM of Fractions for 906/394, 9411/9461 is 2842122.