Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6166/248, 8416/1333 quickly i.e. 25946528/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6166/248, 8416/1333 is 25946528/31.
LCM(6166/248, 8416/1333) = 25946528/31
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6166/248,8416/1333
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 6166,8416
Least Common Multiple of Numerators i.e. LCM of 6166,8416 is 25946528.
GCF of Denominators means GCF of 248,1333 as per the given fractions.
GCF of 248,1333 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6166,8416
2 | 6166, 8416 |
3083, 4208 |
∴ So the LCM of the given numbers is 2 x 3083 x 4208 = 25946528
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 6166,8416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6166,8416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6166,8416) x common factors =2 x 1 = 2
LCM(6166,8416) = ( 6166 × 8416 ) / 2
LCM(6166,8416) = 51893056 / 2
LCM(6166,8416) = 25946528
Lets's calculate GCF of 248,1333
31 | 248, 1333 |
8, 43 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25946528/31
Therefore the LCM of Fractions 6166/248,8416/1333 is 25946528/31
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 1333
List of positive integer factors of 1333 that divides 1333 without a remainder.
1,31,43,1333
Greatest Common Factor
We found the factors 248,1333 . The biggest common factor number is the GCF number.
So the greatest common factor 248,1333 is 31.
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 6166/248, 8416/1333?
Answer: LCM of Numerators as per given numbers 6166/248, 8416/1333 is
LCM of Numerators i.e. for 6166,8416 is 25946528
GCF of denominators i.e. for 248,1333 is 31.
Thus, LCM of Fractions is 25946528/31.Finally, LCM of Fractions for 6166/248, 8416/1333 is 25946528/31.