Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 461/884, 9194/9974 quickly i.e. 2119217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 461/884, 9194/9974 is 2119217.
LCM(461/884, 9194/9974) = 2119217
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 461/884,9194/9974
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 461,9194
Least Common Multiple of Numerators i.e. LCM of 461,9194 is 4238434.
GCF of Denominators means GCF of 884,9974 as per the given fractions.
GCF of 884,9974 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 461,9194
Given numbers has no common factors except 1. So, there LCM is their product i.e 4238434
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 461,9194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,9194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,9194) x common factors =1 x 1 = 1
LCM(461,9194) = ( 461 × 9194 ) / 1
LCM(461,9194) = 4238434 / 1
LCM(461,9194) = 4238434
Lets's calculate GCF of 884,9974
2 | 884, 9974 |
442, 4987 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4238434/2
Therefore the LCM of Fractions 461/884,9194/9974 is 2119217
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 9974
List of positive integer factors of 9974 that divides 9974 without a remainder.
1,2,4987,9974
Greatest Common Factor
We found the factors 884,9974 . The biggest common factor number is the GCF number.
So the greatest common factor 884,9974 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 461/884, 9194/9974?
Answer: LCM of Numerators as per given numbers 461/884, 9194/9974 is
LCM of Numerators i.e. for 461,9194 is 4238434
GCF of denominators i.e. for 884,9974 is 2.
Thus, LCM of Fractions is 2119217.Finally, LCM of Fractions for 461/884, 9194/9974 is 2119217.