Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4151/338, 4677/8275 quickly i.e. 19414227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4151/338, 4677/8275 is 19414227.
LCM(4151/338, 4677/8275) = 19414227
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4151/338,4677/8275
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 4151,4677
Least Common Multiple of Numerators i.e. LCM of 4151,4677 is 19414227.
GCF of Denominators means GCF of 338,8275 as per the given fractions.
GCF of 338,8275 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4151,4677
Given numbers has no common factors except 1. So, there LCM is their product i.e 19414227
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 4151,4677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4151,4677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4151,4677) x common factors =1 x 1 = 1
LCM(4151,4677) = ( 4151 × 4677 ) / 1
LCM(4151,4677) = 19414227 / 1
LCM(4151,4677) = 19414227
Lets's calculate GCF of 338,8275
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19414227/1
Therefore the LCM of Fractions 4151/338,4677/8275 is 19414227
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 8275
List of positive integer factors of 8275 that divides 8275 without a remainder.
1,5,25,331,1655,8275
Greatest Common Factor
We found the factors 338,8275 . The biggest common factor number is the GCF number.
So the greatest common factor 338,8275 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 4151/338, 4677/8275?
Answer: LCM of Numerators as per given numbers 4151/338, 4677/8275 is
LCM of Numerators i.e. for 4151,4677 is 19414227
GCF of denominators i.e. for 338,8275 is 1.
Thus, LCM of Fractions is 19414227.Finally, LCM of Fractions for 4151/338, 4677/8275 is 19414227.