Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/996, 8607/4383 quickly i.e. 166402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/996, 8607/4383 is 166402.
LCM(58/996, 8607/4383) = 166402
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/996,8607/4383
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 58,8607
Least Common Multiple of Numerators i.e. LCM of 58,8607 is 499206.
GCF of Denominators means GCF of 996,4383 as per the given fractions.
GCF of 996,4383 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,8607
Given numbers has no common factors except 1. So, there LCM is their product i.e 499206
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 58,8607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,8607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,8607) x common factors =1 x 1 = 1
LCM(58,8607) = ( 58 × 8607 ) / 1
LCM(58,8607) = 499206 / 1
LCM(58,8607) = 499206
Lets's calculate GCF of 996,4383
3 | 996, 4383 |
332, 1461 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499206/3
Therefore the LCM of Fractions 58/996,8607/4383 is 166402
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 4383
List of positive integer factors of 4383 that divides 4383 without a remainder.
1,3,9,487,1461,4383
Greatest Common Factor
We found the factors 996,4383 . The biggest common factor number is the GCF number.
So the greatest common factor 996,4383 is 3.
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 58/996, 8607/4383?
Answer: LCM of Numerators as per given numbers 58/996, 8607/4383 is
LCM of Numerators i.e. for 58,8607 is 499206
GCF of denominators i.e. for 996,4383 is 3.
Thus, LCM of Fractions is 166402.Finally, LCM of Fractions for 58/996, 8607/4383 is 166402.