Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/248, 5306/8808 quickly i.e. 429786/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/248, 5306/8808 is 429786/8.
LCM(81/248, 5306/8808) = 429786/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/248,5306/8808
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 81,5306
Least Common Multiple of Numerators i.e. LCM of 81,5306 is 429786.
GCF of Denominators means GCF of 248,8808 as per the given fractions.
GCF of 248,8808 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,5306
Given numbers has no common factors except 1. So, there LCM is their product i.e 429786
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 81,5306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,5306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,5306) x common factors =1 x 1 = 1
LCM(81,5306) = ( 81 × 5306 ) / 1
LCM(81,5306) = 429786 / 1
LCM(81,5306) = 429786
Lets's calculate GCF of 248,8808
2 | 248, 8808 |
2 | 124, 4404 |
2 | 62, 2202 |
31, 1101 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429786/8
Therefore the LCM of Fractions 81/248,5306/8808 is 429786/8
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 8808
List of positive integer factors of 8808 that divides 8808 without a remainder.
1,2,3,4,6,8,12,24,367,734,1101,1468,2202,2936,4404,8808
Greatest Common Factor
We found the factors 248,8808 . The biggest common factor number is the GCF number.
So the greatest common factor 248,8808 is 8.
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 81/248, 5306/8808?
Answer: LCM of Numerators as per given numbers 81/248, 5306/8808 is
LCM of Numerators i.e. for 81,5306 is 429786
GCF of denominators i.e. for 248,8808 is 8.
Thus, LCM of Fractions is 429786/8.Finally, LCM of Fractions for 81/248, 5306/8808 is 429786/8.