Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/367, 809/238, 881/222 quickly i.e. 16392767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/367, 809/238, 881/222 is 16392767.
LCM(23/367, 809/238, 881/222) = 16392767
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/367,809/238,881/222
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 23,809,881
Least Common Multiple of Numerators i.e. LCM of 23,809,881 is 16392767.
GCF of Denominators means GCF of 367,238,222 as per the given fractions.
GCF of 367,238,222 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,809,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 16392767
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 23,809,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,809,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,809,881) x common factors =1 x 1 = 1
LCM(23,809,881) = ( 23 × 809 × 881 ) / 1
LCM(23,809,881) = 16392767 / 1
LCM(23,809,881) = 16392767
Lets's calculate GCF of 367,238,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16392767/1
Therefore the LCM of Fractions 23/367,809/238,881/222 is 16392767
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 367,238,222 . The biggest common factor number is the GCF number.
So the greatest common factor 367,238,222 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 23/367, 809/238, 881/222?
Answer: LCM of Numerators as per given numbers 23/367, 809/238, 881/222 is
LCM of Numerators i.e. for 23,809,881 is 16392767
GCF of denominators i.e. for 367,238,222 is 1.
Thus, LCM of Fractions is 16392767.Finally, LCM of Fractions for 23/367, 809/238, 881/222 is 16392767.