Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/228, 1212/8633 quickly i.e. 107868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/228, 1212/8633 is 107868.
LCM(89/228, 1212/8633) = 107868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/228,1212/8633
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 89,1212
Least Common Multiple of Numerators i.e. LCM of 89,1212 is 107868.
GCF of Denominators means GCF of 228,8633 as per the given fractions.
GCF of 228,8633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,1212
Given numbers has no common factors except 1. So, there LCM is their product i.e 107868
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 89,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,1212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,1212) x common factors =1 x 1 = 1
LCM(89,1212) = ( 89 × 1212 ) / 1
LCM(89,1212) = 107868 / 1
LCM(89,1212) = 107868
Lets's calculate GCF of 228,8633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107868/1
Therefore the LCM of Fractions 89/228,1212/8633 is 107868
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 8633
List of positive integer factors of 8633 that divides 8633 without a remainder.
1,89,97,8633
Greatest Common Factor
We found the factors 228,8633 . The biggest common factor number is the GCF number.
So the greatest common factor 228,8633 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 89/228, 1212/8633?
Answer: LCM of Numerators as per given numbers 89/228, 1212/8633 is
LCM of Numerators i.e. for 89,1212 is 107868
GCF of denominators i.e. for 228,8633 is 1.
Thus, LCM of Fractions is 107868.Finally, LCM of Fractions for 89/228, 1212/8633 is 107868.