Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8897/81, 4789/224 quickly i.e. 42607733 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8897/81, 4789/224 is 42607733.
LCM(8897/81, 4789/224) = 42607733
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8897/81,4789/224
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 8897,4789
Least Common Multiple of Numerators i.e. LCM of 8897,4789 is 42607733.
GCF of Denominators means GCF of 81,224 as per the given fractions.
GCF of 81,224 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8897,4789
Given numbers has no common factors except 1. So, there LCM is their product i.e 42607733
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 8897,4789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8897,4789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8897,4789) x common factors =1 x 1 = 1
LCM(8897,4789) = ( 8897 × 4789 ) / 1
LCM(8897,4789) = 42607733 / 1
LCM(8897,4789) = 42607733
Lets's calculate GCF of 81,224
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42607733/1
Therefore the LCM of Fractions 8897/81,4789/224 is 42607733
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 81,224 . The biggest common factor number is the GCF number.
So the greatest common factor 81,224 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 8897/81, 4789/224?
Answer: LCM of Numerators as per given numbers 8897/81, 4789/224 is
LCM of Numerators i.e. for 8897,4789 is 42607733
GCF of denominators i.e. for 81,224 is 1.
Thus, LCM of Fractions is 42607733.Finally, LCM of Fractions for 8897/81, 4789/224 is 42607733.