Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6015/122, 7241/9667 quickly i.e. 43554615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6015/122, 7241/9667 is 43554615.
LCM(6015/122, 7241/9667) = 43554615
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6015/122,7241/9667
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 6015,7241
Least Common Multiple of Numerators i.e. LCM of 6015,7241 is 43554615.
GCF of Denominators means GCF of 122,9667 as per the given fractions.
GCF of 122,9667 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6015,7241
Given numbers has no common factors except 1. So, there LCM is their product i.e 43554615
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 6015,7241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6015,7241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6015,7241) x common factors =1 x 1 = 1
LCM(6015,7241) = ( 6015 × 7241 ) / 1
LCM(6015,7241) = 43554615 / 1
LCM(6015,7241) = 43554615
Lets's calculate GCF of 122,9667
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43554615/1
Therefore the LCM of Fractions 6015/122,7241/9667 is 43554615
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 9667
List of positive integer factors of 9667 that divides 9667 without a remainder.
1,7,1381,9667
Greatest Common Factor
We found the factors 122,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 122,9667 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 6015/122, 7241/9667?
Answer: LCM of Numerators as per given numbers 6015/122, 7241/9667 is
LCM of Numerators i.e. for 6015,7241 is 43554615
GCF of denominators i.e. for 122,9667 is 1.
Thus, LCM of Fractions is 43554615.Finally, LCM of Fractions for 6015/122, 7241/9667 is 43554615.