Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8518/391, 8906/6163 quickly i.e. 37930654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8518/391, 8906/6163 is 37930654.
LCM(8518/391, 8906/6163) = 37930654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8518/391,8906/6163
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 8518,8906
Least Common Multiple of Numerators i.e. LCM of 8518,8906 is 37930654.
GCF of Denominators means GCF of 391,6163 as per the given fractions.
GCF of 391,6163 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8518,8906
2 | 8518, 8906 |
4259, 4453 |
∴ So the LCM of the given numbers is 2 x 4259 x 4453 = 37930654
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 8518,8906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8518,8906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8518,8906) x common factors =2 x 1 = 2
LCM(8518,8906) = ( 8518 × 8906 ) / 2
LCM(8518,8906) = 75861308 / 2
LCM(8518,8906) = 37930654
Lets's calculate GCF of 391,6163
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37930654/1
Therefore the LCM of Fractions 8518/391,8906/6163 is 37930654
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 6163
List of positive integer factors of 6163 that divides 6163 without a remainder.
1,6163
Greatest Common Factor
We found the factors 391,6163 . The biggest common factor number is the GCF number.
So the greatest common factor 391,6163 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 8518/391, 8906/6163?
Answer: LCM of Numerators as per given numbers 8518/391, 8906/6163 is
LCM of Numerators i.e. for 8518,8906 is 37930654
GCF of denominators i.e. for 391,6163 is 1.
Thus, LCM of Fractions is 37930654.Finally, LCM of Fractions for 8518/391, 8906/6163 is 37930654.