Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8949/110, 8233/1341 quickly i.e. 73677117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8949/110, 8233/1341 is 73677117.
LCM(8949/110, 8233/1341) = 73677117
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8949/110,8233/1341
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 8949,8233
Least Common Multiple of Numerators i.e. LCM of 8949,8233 is 73677117.
GCF of Denominators means GCF of 110,1341 as per the given fractions.
GCF of 110,1341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8949,8233
Given numbers has no common factors except 1. So, there LCM is their product i.e 73677117
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 8949,8233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8949,8233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8949,8233) x common factors =1 x 1 = 1
LCM(8949,8233) = ( 8949 × 8233 ) / 1
LCM(8949,8233) = 73677117 / 1
LCM(8949,8233) = 73677117
Lets's calculate GCF of 110,1341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73677117/1
Therefore the LCM of Fractions 8949/110,8233/1341 is 73677117
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 1341
List of positive integer factors of 1341 that divides 1341 without a remainder.
1,3,9,149,447,1341
Greatest Common Factor
We found the factors 110,1341 . The biggest common factor number is the GCF number.
So the greatest common factor 110,1341 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 8949/110, 8233/1341?
Answer: LCM of Numerators as per given numbers 8949/110, 8233/1341 is
LCM of Numerators i.e. for 8949,8233 is 73677117
GCF of denominators i.e. for 110,1341 is 1.
Thus, LCM of Fractions is 73677117.Finally, LCM of Fractions for 8949/110, 8233/1341 is 73677117.