Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7431/945, 6803/108 quickly i.e. 50553093/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7431/945, 6803/108 is 50553093/27.
LCM(7431/945, 6803/108) = 50553093/27
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7431/945,6803/108
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 7431,6803
Least Common Multiple of Numerators i.e. LCM of 7431,6803 is 50553093.
GCF of Denominators means GCF of 945,108 as per the given fractions.
GCF of 945,108 is 27 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7431,6803
Given numbers has no common factors except 1. So, there LCM is their product i.e 50553093
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 7431,6803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7431,6803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7431,6803) x common factors =1 x 1 = 1
LCM(7431,6803) = ( 7431 × 6803 ) / 1
LCM(7431,6803) = 50553093 / 1
LCM(7431,6803) = 50553093
Lets's calculate GCF of 945,108
3 | 945, 108 |
3 | 315, 36 |
3 | 105, 12 |
35, 4 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50553093/27
Therefore the LCM of Fractions 7431/945,6803/108 is 50553093/27
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 945,108 . The biggest common factor number is the GCF number.
So the greatest common factor 945,108 is 27.
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 7431/945, 6803/108?
Answer: LCM of Numerators as per given numbers 7431/945, 6803/108 is
LCM of Numerators i.e. for 7431,6803 is 50553093
GCF of denominators i.e. for 945,108 is 27.
Thus, LCM of Fractions is 50553093/27.Finally, LCM of Fractions for 7431/945, 6803/108 is 50553093/27.