Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8652/52, 5873/768 quickly i.e. 1814757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8652/52, 5873/768 is 1814757.
LCM(8652/52, 5873/768) = 1814757
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8652/52,5873/768
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 8652,5873
Least Common Multiple of Numerators i.e. LCM of 8652,5873 is 7259028.
GCF of Denominators means GCF of 52,768 as per the given fractions.
GCF of 52,768 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8652,5873
7 | 8652, 5873 |
1236, 839 |
∴ So the LCM of the given numbers is 7 x 1236 x 839 = 7259028
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 8652,5873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8652,5873) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(8652,5873) x common factors =7 x 1 = 7
LCM(8652,5873) = ( 8652 × 5873 ) / 7
LCM(8652,5873) = 50813196 / 7
LCM(8652,5873) = 7259028
Lets's calculate GCF of 52,768
2 | 52, 768 |
2 | 26, 384 |
13, 192 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7259028/4
Therefore the LCM of Fractions 8652/52,5873/768 is 1814757
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 52,768 . The biggest common factor number is the GCF number.
So the greatest common factor 52,768 is 4.
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 8652/52, 5873/768?
Answer: LCM of Numerators as per given numbers 8652/52, 5873/768 is
LCM of Numerators i.e. for 8652,5873 is 7259028
GCF of denominators i.e. for 52,768 is 4.
Thus, LCM of Fractions is 1814757.Finally, LCM of Fractions for 8652/52, 5873/768 is 1814757.