Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/379, 5316/9115 quickly i.e. 26580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/379, 5316/9115 is 26580.
LCM(15/379, 5316/9115) = 26580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/379,5316/9115
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 15,5316
Least Common Multiple of Numerators i.e. LCM of 15,5316 is 26580.
GCF of Denominators means GCF of 379,9115 as per the given fractions.
GCF of 379,9115 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,5316
3 | 15, 5316 |
5, 1772 |
∴ So the LCM of the given numbers is 3 x 5 x 1772 = 26580
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 15,5316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,5316) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,5316) x common factors =3 x 1 = 3
LCM(15,5316) = ( 15 × 5316 ) / 3
LCM(15,5316) = 79740 / 3
LCM(15,5316) = 26580
Lets's calculate GCF of 379,9115
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26580/1
Therefore the LCM of Fractions 15/379,5316/9115 is 26580
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 9115
List of positive integer factors of 9115 that divides 9115 without a remainder.
1,5,1823,9115
Greatest Common Factor
We found the factors 379,9115 . The biggest common factor number is the GCF number.
So the greatest common factor 379,9115 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 15/379, 5316/9115?
Answer: LCM of Numerators as per given numbers 15/379, 5316/9115 is
LCM of Numerators i.e. for 15,5316 is 26580
GCF of denominators i.e. for 379,9115 is 1.
Thus, LCM of Fractions is 26580.Finally, LCM of Fractions for 15/379, 5316/9115 is 26580.