Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 839/950, 331/448, 898/491 quickly i.e. 249382682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 839/950, 331/448, 898/491 is 249382682.
LCM(839/950, 331/448, 898/491) = 249382682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 839/950,331/448,898/491
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 839,331,898
Least Common Multiple of Numerators i.e. LCM of 839,331,898 is 249382682.
GCF of Denominators means GCF of 950,448,491 as per the given fractions.
GCF of 950,448,491 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 839,331,898
Given numbers has no common factors except 1. So, there LCM is their product i.e 249382682
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 839,331,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,331,898) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,331,898) x common factors =1 x 1 = 1
LCM(839,331,898) = ( 839 × 331 × 898 ) / 1
LCM(839,331,898) = 249382682 / 1
LCM(839,331,898) = 249382682
Lets's calculate GCF of 950,448,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249382682/1
Therefore the LCM of Fractions 839/950,331/448,898/491 is 249382682
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Greatest Common Factor
We found the factors 950,448,491 . The biggest common factor number is the GCF number.
So the greatest common factor 950,448,491 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 839/950, 331/448, 898/491?
Answer: LCM of Numerators as per given numbers 839/950, 331/448, 898/491 is
LCM of Numerators i.e. for 839,331,898 is 249382682
GCF of denominators i.e. for 950,448,491 is 1.
Thus, LCM of Fractions is 249382682.Finally, LCM of Fractions for 839/950, 331/448, 898/491 is 249382682.