Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9603/403, 6940/4188 quickly i.e. 66644820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9603/403, 6940/4188 is 66644820.
LCM(9603/403, 6940/4188) = 66644820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9603/403,6940/4188
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 9603,6940
Least Common Multiple of Numerators i.e. LCM of 9603,6940 is 66644820.
GCF of Denominators means GCF of 403,4188 as per the given fractions.
GCF of 403,4188 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9603,6940
Given numbers has no common factors except 1. So, there LCM is their product i.e 66644820
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 9603,6940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9603,6940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9603,6940) x common factors =1 x 1 = 1
LCM(9603,6940) = ( 9603 × 6940 ) / 1
LCM(9603,6940) = 66644820 / 1
LCM(9603,6940) = 66644820
Lets's calculate GCF of 403,4188
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66644820/1
Therefore the LCM of Fractions 9603/403,6940/4188 is 66644820
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 4188
List of positive integer factors of 4188 that divides 4188 without a remainder.
1,2,3,4,6,12,349,698,1047,1396,2094,4188
Greatest Common Factor
We found the factors 403,4188 . The biggest common factor number is the GCF number.
So the greatest common factor 403,4188 is 1.
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 9603/403, 6940/4188?
Answer: LCM of Numerators as per given numbers 9603/403, 6940/4188 is
LCM of Numerators i.e. for 9603,6940 is 66644820
GCF of denominators i.e. for 403,4188 is 1.
Thus, LCM of Fractions is 66644820.Finally, LCM of Fractions for 9603/403, 6940/4188 is 66644820.