Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4083/847, 4768/8833 quickly i.e. 19467744/121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4083/847, 4768/8833 is 19467744/121.
LCM(4083/847, 4768/8833) = 19467744/121
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4083/847,4768/8833
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 4083,4768
Least Common Multiple of Numerators i.e. LCM of 4083,4768 is 19467744.
GCF of Denominators means GCF of 847,8833 as per the given fractions.
GCF of 847,8833 is 121 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4083,4768
Given numbers has no common factors except 1. So, there LCM is their product i.e 19467744
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 4083,4768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4083,4768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4083,4768) x common factors =1 x 1 = 1
LCM(4083,4768) = ( 4083 × 4768 ) / 1
LCM(4083,4768) = 19467744 / 1
LCM(4083,4768) = 19467744
Lets's calculate GCF of 847,8833
11 | 847, 8833 |
11 | 77, 803 |
7, 73 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19467744/121
Therefore the LCM of Fractions 4083/847,4768/8833 is 19467744/121
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 8833
List of positive integer factors of 8833 that divides 8833 without a remainder.
1,11,73,121,803,8833
Greatest Common Factor
We found the factors 847,8833 . The biggest common factor number is the GCF number.
So the greatest common factor 847,8833 is 121.
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 4083/847, 4768/8833?
Answer: LCM of Numerators as per given numbers 4083/847, 4768/8833 is
LCM of Numerators i.e. for 4083,4768 is 19467744
GCF of denominators i.e. for 847,8833 is 121.
Thus, LCM of Fractions is 19467744/121.Finally, LCM of Fractions for 4083/847, 4768/8833 is 19467744/121.