Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6019/151, 6337/9566 quickly i.e. 38142403 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6019/151, 6337/9566 is 38142403.
LCM(6019/151, 6337/9566) = 38142403
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6019/151,6337/9566
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 6019,6337
Least Common Multiple of Numerators i.e. LCM of 6019,6337 is 38142403.
GCF of Denominators means GCF of 151,9566 as per the given fractions.
GCF of 151,9566 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6019,6337
Given numbers has no common factors except 1. So, there LCM is their product i.e 38142403
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 6019,6337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6019,6337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6019,6337) x common factors =1 x 1 = 1
LCM(6019,6337) = ( 6019 × 6337 ) / 1
LCM(6019,6337) = 38142403 / 1
LCM(6019,6337) = 38142403
Lets's calculate GCF of 151,9566
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38142403/1
Therefore the LCM of Fractions 6019/151,6337/9566 is 38142403
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 9566
List of positive integer factors of 9566 that divides 9566 without a remainder.
1,2,4783,9566
Greatest Common Factor
We found the factors 151,9566 . The biggest common factor number is the GCF number.
So the greatest common factor 151,9566 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 6019/151, 6337/9566?
Answer: LCM of Numerators as per given numbers 6019/151, 6337/9566 is
LCM of Numerators i.e. for 6019,6337 is 38142403
GCF of denominators i.e. for 151,9566 is 1.
Thus, LCM of Fractions is 38142403.Finally, LCM of Fractions for 6019/151, 6337/9566 is 38142403.