Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8203/168, 3713/9368 quickly i.e. 30457739/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8203/168, 3713/9368 is 30457739/8.
LCM(8203/168, 3713/9368) = 30457739/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8203/168,3713/9368
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 8203,3713
Least Common Multiple of Numerators i.e. LCM of 8203,3713 is 30457739.
GCF of Denominators means GCF of 168,9368 as per the given fractions.
GCF of 168,9368 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8203,3713
Given numbers has no common factors except 1. So, there LCM is their product i.e 30457739
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 8203,3713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8203,3713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8203,3713) x common factors =1 x 1 = 1
LCM(8203,3713) = ( 8203 × 3713 ) / 1
LCM(8203,3713) = 30457739 / 1
LCM(8203,3713) = 30457739
Lets's calculate GCF of 168,9368
2 | 168, 9368 |
2 | 84, 4684 |
2 | 42, 2342 |
21, 1171 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30457739/8
Therefore the LCM of Fractions 8203/168,3713/9368 is 30457739/8
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 9368
List of positive integer factors of 9368 that divides 9368 without a remainder.
1,2,4,8,1171,2342,4684,9368
Greatest Common Factor
We found the factors 168,9368 . The biggest common factor number is the GCF number.
So the greatest common factor 168,9368 is 8.
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 8203/168, 3713/9368?
Answer: LCM of Numerators as per given numbers 8203/168, 3713/9368 is
LCM of Numerators i.e. for 8203,3713 is 30457739
GCF of denominators i.e. for 168,9368 is 8.
Thus, LCM of Fractions is 30457739/8.Finally, LCM of Fractions for 8203/168, 3713/9368 is 30457739/8.