Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9996/836, 5060/3571 quickly i.e. 12644940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9996/836, 5060/3571 is 12644940.
LCM(9996/836, 5060/3571) = 12644940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9996/836,5060/3571
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 9996,5060
Least Common Multiple of Numerators i.e. LCM of 9996,5060 is 12644940.
GCF of Denominators means GCF of 836,3571 as per the given fractions.
GCF of 836,3571 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9996,5060
2 | 9996, 5060 |
2 | 4998, 2530 |
2499, 1265 |
∴ So the LCM of the given numbers is 2 x 2 x 2499 x 1265 = 12644940
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 9996,5060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9996,5060) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9996,5060) x common factors =4 x 1 = 4
LCM(9996,5060) = ( 9996 × 5060 ) / 4
LCM(9996,5060) = 50579760 / 4
LCM(9996,5060) = 12644940
Lets's calculate GCF of 836,3571
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12644940/1
Therefore the LCM of Fractions 9996/836,5060/3571 is 12644940
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 3571
List of positive integer factors of 3571 that divides 3571 without a remainder.
1,3571
Greatest Common Factor
We found the factors 836,3571 . The biggest common factor number is the GCF number.
So the greatest common factor 836,3571 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 9996/836, 5060/3571?
Answer: LCM of Numerators as per given numbers 9996/836, 5060/3571 is
LCM of Numerators i.e. for 9996,5060 is 12644940
GCF of denominators i.e. for 836,3571 is 1.
Thus, LCM of Fractions is 12644940.Finally, LCM of Fractions for 9996/836, 5060/3571 is 12644940.