Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4852/417, 7406/3863 quickly i.e. 17966956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4852/417, 7406/3863 is 17966956.
LCM(4852/417, 7406/3863) = 17966956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4852/417,7406/3863
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 4852,7406
Least Common Multiple of Numerators i.e. LCM of 4852,7406 is 17966956.
GCF of Denominators means GCF of 417,3863 as per the given fractions.
GCF of 417,3863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4852,7406
2 | 4852, 7406 |
2426, 3703 |
∴ So the LCM of the given numbers is 2 x 2426 x 3703 = 17966956
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 4852,7406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4852,7406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4852,7406) x common factors =2 x 1 = 2
LCM(4852,7406) = ( 4852 × 7406 ) / 2
LCM(4852,7406) = 35933912 / 2
LCM(4852,7406) = 17966956
Lets's calculate GCF of 417,3863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17966956/1
Therefore the LCM of Fractions 4852/417,7406/3863 is 17966956
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 3863
List of positive integer factors of 3863 that divides 3863 without a remainder.
1,3863
Greatest Common Factor
We found the factors 417,3863 . The biggest common factor number is the GCF number.
So the greatest common factor 417,3863 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 4852/417, 7406/3863?
Answer: LCM of Numerators as per given numbers 4852/417, 7406/3863 is
LCM of Numerators i.e. for 4852,7406 is 17966956
GCF of denominators i.e. for 417,3863 is 1.
Thus, LCM of Fractions is 17966956.Finally, LCM of Fractions for 4852/417, 7406/3863 is 17966956.