Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/915, 93/305, 812/418 quickly i.e. 2794092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/915, 93/305, 812/418 is 2794092.
LCM(37/915, 93/305, 812/418) = 2794092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/915,93/305,812/418
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 37,93,812
Least Common Multiple of Numerators i.e. LCM of 37,93,812 is 2794092.
GCF of Denominators means GCF of 915,305,418 as per the given fractions.
GCF of 915,305,418 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,93,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 2794092
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 37,93,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,93,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,93,812) x common factors =1 x 1 = 1
LCM(37,93,812) = ( 37 × 93 × 812 ) / 1
LCM(37,93,812) = 2794092 / 1
LCM(37,93,812) = 2794092
Lets's calculate GCF of 915,305,418
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2794092/1
Therefore the LCM of Fractions 37/915,93/305,812/418 is 2794092
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 915,305,418 . The biggest common factor number is the GCF number.
So the greatest common factor 915,305,418 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 37/915, 93/305, 812/418?
Answer: LCM of Numerators as per given numbers 37/915, 93/305, 812/418 is
LCM of Numerators i.e. for 37,93,812 is 2794092
GCF of denominators i.e. for 915,305,418 is 1.
Thus, LCM of Fractions is 2794092.Finally, LCM of Fractions for 37/915, 93/305, 812/418 is 2794092.