Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 815/186, 8032/372 quickly i.e. 6546080/186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 815/186, 8032/372 is 6546080/186.
LCM(815/186, 8032/372) = 6546080/186
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 815/186,8032/372
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 815,8032
Least Common Multiple of Numerators i.e. LCM of 815,8032 is 6546080.
GCF of Denominators means GCF of 186,372 as per the given fractions.
GCF of 186,372 is 186 as it is the largest common factor for these numbers.
Lets's calculate LCM of 815,8032
Given numbers has no common factors except 1. So, there LCM is their product i.e 6546080
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 815,8032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,8032) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,8032) x common factors =1 x 1 = 1
LCM(815,8032) = ( 815 × 8032 ) / 1
LCM(815,8032) = 6546080 / 1
LCM(815,8032) = 6546080
Lets's calculate GCF of 186,372
2 | 186, 372 |
3 | 93, 186 |
31 | 31, 62 |
1, 2 |
∴ So the GCF of the given numbers is 2 x 3 x 31 = 186
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6546080/186
Therefore the LCM of Fractions 815/186,8032/372 is 6546080/186
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 186,372 . The biggest common factor number is the GCF number.
So the greatest common factor 186,372 is 186.
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 815/186, 8032/372?
Answer: LCM of Numerators as per given numbers 815/186, 8032/372 is
LCM of Numerators i.e. for 815,8032 is 6546080
GCF of denominators i.e. for 186,372 is 186.
Thus, LCM of Fractions is 6546080/186.Finally, LCM of Fractions for 815/186, 8032/372 is 6546080/186.