Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7432/993, 4131/1308 quickly i.e. 10233864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7432/993, 4131/1308 is 10233864.
LCM(7432/993, 4131/1308) = 10233864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7432/993,4131/1308
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 7432,4131
Least Common Multiple of Numerators i.e. LCM of 7432,4131 is 30701592.
GCF of Denominators means GCF of 993,1308 as per the given fractions.
GCF of 993,1308 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7432,4131
Given numbers has no common factors except 1. So, there LCM is their product i.e 30701592
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 7432,4131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7432,4131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7432,4131) x common factors =1 x 1 = 1
LCM(7432,4131) = ( 7432 × 4131 ) / 1
LCM(7432,4131) = 30701592 / 1
LCM(7432,4131) = 30701592
Lets's calculate GCF of 993,1308
3 | 993, 1308 |
331, 436 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30701592/3
Therefore the LCM of Fractions 7432/993,4131/1308 is 10233864
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 1308
List of positive integer factors of 1308 that divides 1308 without a remainder.
1,2,3,4,6,12,109,218,327,436,654,1308
Greatest Common Factor
We found the factors 993,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 993,1308 is 3.
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 7432/993, 4131/1308?
Answer: LCM of Numerators as per given numbers 7432/993, 4131/1308 is
LCM of Numerators i.e. for 7432,4131 is 30701592
GCF of denominators i.e. for 993,1308 is 3.
Thus, LCM of Fractions is 10233864.Finally, LCM of Fractions for 7432/993, 4131/1308 is 10233864.