Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/726, 7218/9643 quickly i.e. 137142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/726, 7218/9643 is 137142.
LCM(19/726, 7218/9643) = 137142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/726,7218/9643
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 19,7218
Least Common Multiple of Numerators i.e. LCM of 19,7218 is 137142.
GCF of Denominators means GCF of 726,9643 as per the given fractions.
GCF of 726,9643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,7218
Given numbers has no common factors except 1. So, there LCM is their product i.e 137142
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 19,7218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,7218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,7218) x common factors =1 x 1 = 1
LCM(19,7218) = ( 19 × 7218 ) / 1
LCM(19,7218) = 137142 / 1
LCM(19,7218) = 137142
Lets's calculate GCF of 726,9643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137142/1
Therefore the LCM of Fractions 19/726,7218/9643 is 137142
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 9643
List of positive integer factors of 9643 that divides 9643 without a remainder.
1,9643
Greatest Common Factor
We found the factors 726,9643 . The biggest common factor number is the GCF number.
So the greatest common factor 726,9643 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 19/726, 7218/9643?
Answer: LCM of Numerators as per given numbers 19/726, 7218/9643 is
LCM of Numerators i.e. for 19,7218 is 137142
GCF of denominators i.e. for 726,9643 is 1.
Thus, LCM of Fractions is 137142.Finally, LCM of Fractions for 19/726, 7218/9643 is 137142.