Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 331/982, 725/444 quickly i.e. 239975/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 331/982, 725/444 is 239975/2.
LCM(331/982, 725/444) = 239975/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 331/982,725/444
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 331,725
Least Common Multiple of Numerators i.e. LCM of 331,725 is 239975.
GCF of Denominators means GCF of 982,444 as per the given fractions.
GCF of 982,444 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 331,725
Given numbers has no common factors except 1. So, there LCM is their product i.e 239975
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 331,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,725) x common factors =1 x 1 = 1
LCM(331,725) = ( 331 × 725 ) / 1
LCM(331,725) = 239975 / 1
LCM(331,725) = 239975
Lets's calculate GCF of 982,444
2 | 982, 444 |
491, 222 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239975/2
Therefore the LCM of Fractions 331/982,725/444 is 239975/2
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 982,444 . The biggest common factor number is the GCF number.
So the greatest common factor 982,444 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 331/982, 725/444?
Answer: LCM of Numerators as per given numbers 331/982, 725/444 is
LCM of Numerators i.e. for 331,725 is 239975
GCF of denominators i.e. for 982,444 is 2.
Thus, LCM of Fractions is 239975/2.Finally, LCM of Fractions for 331/982, 725/444 is 239975/2.