Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 185/417, 2915/482 quickly i.e. 107855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 185/417, 2915/482 is 107855.
LCM(185/417, 2915/482) = 107855
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 185/417,2915/482
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 185,2915
Least Common Multiple of Numerators i.e. LCM of 185,2915 is 107855.
GCF of Denominators means GCF of 417,482 as per the given fractions.
GCF of 417,482 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 185,2915
5 | 185, 2915 |
37, 583 |
∴ So the LCM of the given numbers is 5 x 37 x 583 = 107855
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 185,2915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,2915) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,2915) x common factors =5 x 1 = 5
LCM(185,2915) = ( 185 × 2915 ) / 5
LCM(185,2915) = 539275 / 5
LCM(185,2915) = 107855
Lets's calculate GCF of 417,482
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107855/1
Therefore the LCM of Fractions 185/417,2915/482 is 107855
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 417,482 . The biggest common factor number is the GCF number.
So the greatest common factor 417,482 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 185/417, 2915/482?
Answer: LCM of Numerators as per given numbers 185/417, 2915/482 is
LCM of Numerators i.e. for 185,2915 is 107855
GCF of denominators i.e. for 417,482 is 1.
Thus, LCM of Fractions is 107855.Finally, LCM of Fractions for 185/417, 2915/482 is 107855.