Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/965, 413/398, 676/397 quickly i.e. 6421324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/965, 413/398, 676/397 is 6421324.
LCM(23/965, 413/398, 676/397) = 6421324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/965,413/398,676/397
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 23,413,676
Least Common Multiple of Numerators i.e. LCM of 23,413,676 is 6421324.
GCF of Denominators means GCF of 965,398,397 as per the given fractions.
GCF of 965,398,397 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,413,676
Given numbers has no common factors except 1. So, there LCM is their product i.e 6421324
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 23,413,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,413,676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,413,676) x common factors =1 x 1 = 1
LCM(23,413,676) = ( 23 × 413 × 676 ) / 1
LCM(23,413,676) = 6421324 / 1
LCM(23,413,676) = 6421324
Lets's calculate GCF of 965,398,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6421324/1
Therefore the LCM of Fractions 23/965,413/398,676/397 is 6421324
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Greatest Common Factor
We found the factors 965,398,397 . The biggest common factor number is the GCF number.
So the greatest common factor 965,398,397 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 23/965, 413/398, 676/397?
Answer: LCM of Numerators as per given numbers 23/965, 413/398, 676/397 is
LCM of Numerators i.e. for 23,413,676 is 6421324
GCF of denominators i.e. for 965,398,397 is 1.
Thus, LCM of Fractions is 6421324.Finally, LCM of Fractions for 23/965, 413/398, 676/397 is 6421324.