Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/615, 9315/1034 quickly i.e. 18630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/615, 9315/1034 is 18630.
LCM(46/615, 9315/1034) = 18630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/615,9315/1034
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 46,9315
Least Common Multiple of Numerators i.e. LCM of 46,9315 is 18630.
GCF of Denominators means GCF of 615,1034 as per the given fractions.
GCF of 615,1034 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,9315
23 | 46, 9315 |
2, 405 |
∴ So the LCM of the given numbers is 23 x 2 x 405 = 18630
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 46,9315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,9315) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(46,9315) x common factors =23 x 1 = 23
LCM(46,9315) = ( 46 × 9315 ) / 23
LCM(46,9315) = 428490 / 23
LCM(46,9315) = 18630
Lets's calculate GCF of 615,1034
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18630/1
Therefore the LCM of Fractions 46/615,9315/1034 is 18630
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1,2,11,22,47,94,517,1034
Greatest Common Factor
We found the factors 615,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 615,1034 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 46/615, 9315/1034?
Answer: LCM of Numerators as per given numbers 46/615, 9315/1034 is
LCM of Numerators i.e. for 46,9315 is 18630
GCF of denominators i.e. for 615,1034 is 1.
Thus, LCM of Fractions is 18630.Finally, LCM of Fractions for 46/615, 9315/1034 is 18630.