Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/863, 6636/7801 quickly i.e. 86268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/863, 6636/7801 is 86268.
LCM(39/863, 6636/7801) = 86268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/863,6636/7801
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 39,6636
Least Common Multiple of Numerators i.e. LCM of 39,6636 is 86268.
GCF of Denominators means GCF of 863,7801 as per the given fractions.
GCF of 863,7801 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,6636
3 | 39, 6636 |
13, 2212 |
∴ So the LCM of the given numbers is 3 x 13 x 2212 = 86268
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 39,6636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,6636) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,6636) x common factors =3 x 1 = 3
LCM(39,6636) = ( 39 × 6636 ) / 3
LCM(39,6636) = 258804 / 3
LCM(39,6636) = 86268
Lets's calculate GCF of 863,7801
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86268/1
Therefore the LCM of Fractions 39/863,6636/7801 is 86268
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 7801
List of positive integer factors of 7801 that divides 7801 without a remainder.
1,29,269,7801
Greatest Common Factor
We found the factors 863,7801 . The biggest common factor number is the GCF number.
So the greatest common factor 863,7801 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 39/863, 6636/7801?
Answer: LCM of Numerators as per given numbers 39/863, 6636/7801 is
LCM of Numerators i.e. for 39,6636 is 86268
GCF of denominators i.e. for 863,7801 is 1.
Thus, LCM of Fractions is 86268.Finally, LCM of Fractions for 39/863, 6636/7801 is 86268.