Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8275/110, 1324/7217 quickly i.e. 33100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8275/110, 1324/7217 is 33100.
LCM(8275/110, 1324/7217) = 33100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8275/110,1324/7217
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 8275,1324
Least Common Multiple of Numerators i.e. LCM of 8275,1324 is 33100.
GCF of Denominators means GCF of 110,7217 as per the given fractions.
GCF of 110,7217 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8275,1324
331 | 8275, 1324 |
25, 4 |
∴ So the LCM of the given numbers is 331 x 25 x 4 = 33100
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 8275,1324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8275,1324) = 331
common factors(in case of two or more numbers have common factors) = 1
GCF(8275,1324) x common factors =331 x 1 = 331
LCM(8275,1324) = ( 8275 × 1324 ) / 331
LCM(8275,1324) = 10956100 / 331
LCM(8275,1324) = 33100
Lets's calculate GCF of 110,7217
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33100/1
Therefore the LCM of Fractions 8275/110,1324/7217 is 33100
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 7217
List of positive integer factors of 7217 that divides 7217 without a remainder.
1,7,1031,7217
Greatest Common Factor
We found the factors 110,7217 . The biggest common factor number is the GCF number.
So the greatest common factor 110,7217 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 8275/110, 1324/7217?
Answer: LCM of Numerators as per given numbers 8275/110, 1324/7217 is
LCM of Numerators i.e. for 8275,1324 is 33100
GCF of denominators i.e. for 110,7217 is 1.
Thus, LCM of Fractions is 33100.Finally, LCM of Fractions for 8275/110, 1324/7217 is 33100.