Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 615/606, 6150/9747 quickly i.e. 2050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 615/606, 6150/9747 is 2050.
LCM(615/606, 6150/9747) = 2050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 615/606,6150/9747
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 615,6150
Least Common Multiple of Numerators i.e. LCM of 615,6150 is 6150.
GCF of Denominators means GCF of 606,9747 as per the given fractions.
GCF of 606,9747 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 615,6150
3 | 615, 6150 |
5 | 205, 2050 |
41 | 41, 410 |
1, 10 |
∴ So the LCM of the given numbers is 3 x 5 x 41 x 1 x 10 = 6150
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 615,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,6150) = 615
common factors(in case of two or more numbers have common factors) = 1
GCF(615,6150) x common factors =615 x 1 = 615
LCM(615,6150) = ( 615 × 6150 ) / 615
LCM(615,6150) = 3782250 / 615
LCM(615,6150) = 6150
Lets's calculate GCF of 606,9747
3 | 606, 9747 |
202, 3249 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6150/3
Therefore the LCM of Fractions 615/606,6150/9747 is 2050
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 9747
List of positive integer factors of 9747 that divides 9747 without a remainder.
1,3,9,19,27,57,171,361,513,1083,3249,9747
Greatest Common Factor
We found the factors 606,9747 . The biggest common factor number is the GCF number.
So the greatest common factor 606,9747 is 3.
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 615/606, 6150/9747?
Answer: LCM of Numerators as per given numbers 615/606, 6150/9747 is
LCM of Numerators i.e. for 615,6150 is 6150
GCF of denominators i.e. for 606,9747 is 3.
Thus, LCM of Fractions is 2050.Finally, LCM of Fractions for 615/606, 6150/9747 is 2050.