Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4613/787, 4798/8856 quickly i.e. 22133174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4613/787, 4798/8856 is 22133174.
LCM(4613/787, 4798/8856) = 22133174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4613/787,4798/8856
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 4613,4798
Least Common Multiple of Numerators i.e. LCM of 4613,4798 is 22133174.
GCF of Denominators means GCF of 787,8856 as per the given fractions.
GCF of 787,8856 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4613,4798
Given numbers has no common factors except 1. So, there LCM is their product i.e 22133174
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 4613,4798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4613,4798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4613,4798) x common factors =1 x 1 = 1
LCM(4613,4798) = ( 4613 × 4798 ) / 1
LCM(4613,4798) = 22133174 / 1
LCM(4613,4798) = 22133174
Lets's calculate GCF of 787,8856
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22133174/1
Therefore the LCM of Fractions 4613/787,4798/8856 is 22133174
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 8856
List of positive integer factors of 8856 that divides 8856 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856
Greatest Common Factor
We found the factors 787,8856 . The biggest common factor number is the GCF number.
So the greatest common factor 787,8856 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 4613/787, 4798/8856?
Answer: LCM of Numerators as per given numbers 4613/787, 4798/8856 is
LCM of Numerators i.e. for 4613,4798 is 22133174
GCF of denominators i.e. for 787,8856 is 1.
Thus, LCM of Fractions is 22133174.Finally, LCM of Fractions for 4613/787, 4798/8856 is 22133174.