Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9600/428, 8518/7272 quickly i.e. 10221600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9600/428, 8518/7272 is 10221600.
LCM(9600/428, 8518/7272) = 10221600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9600/428,8518/7272
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 9600,8518
Least Common Multiple of Numerators i.e. LCM of 9600,8518 is 40886400.
GCF of Denominators means GCF of 428,7272 as per the given fractions.
GCF of 428,7272 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9600,8518
2 | 9600, 8518 |
4800, 4259 |
∴ So the LCM of the given numbers is 2 x 4800 x 4259 = 40886400
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 9600,8518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9600,8518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9600,8518) x common factors =2 x 1 = 2
LCM(9600,8518) = ( 9600 × 8518 ) / 2
LCM(9600,8518) = 81772800 / 2
LCM(9600,8518) = 40886400
Lets's calculate GCF of 428,7272
2 | 428, 7272 |
2 | 214, 3636 |
107, 1818 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40886400/4
Therefore the LCM of Fractions 9600/428,8518/7272 is 10221600
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 7272
List of positive integer factors of 7272 that divides 7272 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272
Greatest Common Factor
We found the factors 428,7272 . The biggest common factor number is the GCF number.
So the greatest common factor 428,7272 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 9600/428, 8518/7272?
Answer: LCM of Numerators as per given numbers 9600/428, 8518/7272 is
LCM of Numerators i.e. for 9600,8518 is 40886400
GCF of denominators i.e. for 428,7272 is 4.
Thus, LCM of Fractions is 10221600.Finally, LCM of Fractions for 9600/428, 8518/7272 is 10221600.