Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 398/970, 2107/483 quickly i.e. 838586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 398/970, 2107/483 is 838586.
LCM(398/970, 2107/483) = 838586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 398/970,2107/483
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 398,2107
Least Common Multiple of Numerators i.e. LCM of 398,2107 is 838586.
GCF of Denominators means GCF of 970,483 as per the given fractions.
GCF of 970,483 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 398,2107
Given numbers has no common factors except 1. So, there LCM is their product i.e 838586
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 398,2107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,2107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,2107) x common factors =1 x 1 = 1
LCM(398,2107) = ( 398 × 2107 ) / 1
LCM(398,2107) = 838586 / 1
LCM(398,2107) = 838586
Lets's calculate GCF of 970,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 838586/1
Therefore the LCM of Fractions 398/970,2107/483 is 838586
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 970,483 . The biggest common factor number is the GCF number.
So the greatest common factor 970,483 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 398/970, 2107/483?
Answer: LCM of Numerators as per given numbers 398/970, 2107/483 is
LCM of Numerators i.e. for 398,2107 is 838586
GCF of denominators i.e. for 970,483 is 1.
Thus, LCM of Fractions is 838586.Finally, LCM of Fractions for 398/970, 2107/483 is 838586.