Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4518/355, 8031/416 quickly i.e. 12094686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4518/355, 8031/416 is 12094686.
LCM(4518/355, 8031/416) = 12094686
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4518/355,8031/416
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 4518,8031
Least Common Multiple of Numerators i.e. LCM of 4518,8031 is 12094686.
GCF of Denominators means GCF of 355,416 as per the given fractions.
GCF of 355,416 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4518,8031
3 | 4518, 8031 |
1506, 2677 |
∴ So the LCM of the given numbers is 3 x 1506 x 2677 = 12094686
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 4518,8031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4518,8031) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4518,8031) x common factors =3 x 1 = 3
LCM(4518,8031) = ( 4518 × 8031 ) / 3
LCM(4518,8031) = 36284058 / 3
LCM(4518,8031) = 12094686
Lets's calculate GCF of 355,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12094686/1
Therefore the LCM of Fractions 4518/355,8031/416 is 12094686
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 355,416 . The biggest common factor number is the GCF number.
So the greatest common factor 355,416 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 4518/355, 8031/416?
Answer: LCM of Numerators as per given numbers 4518/355, 8031/416 is
LCM of Numerators i.e. for 4518,8031 is 12094686
GCF of denominators i.e. for 355,416 is 1.
Thus, LCM of Fractions is 12094686.Finally, LCM of Fractions for 4518/355, 8031/416 is 12094686.