Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 299/38, 639/7217 quickly i.e. 191061 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 299/38, 639/7217 is 191061.
LCM(299/38, 639/7217) = 191061
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 299/38,639/7217
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 299,639
Least Common Multiple of Numerators i.e. LCM of 299,639 is 191061.
GCF of Denominators means GCF of 38,7217 as per the given fractions.
GCF of 38,7217 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 299,639
Given numbers has no common factors except 1. So, there LCM is their product i.e 191061
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 299,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,639) x common factors =1 x 1 = 1
LCM(299,639) = ( 299 × 639 ) / 1
LCM(299,639) = 191061 / 1
LCM(299,639) = 191061
Lets's calculate GCF of 38,7217
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191061/1
Therefore the LCM of Fractions 299/38,639/7217 is 191061
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 7217
List of positive integer factors of 7217 that divides 7217 without a remainder.
1,7,1031,7217
Greatest Common Factor
We found the factors 38,7217 . The biggest common factor number is the GCF number.
So the greatest common factor 38,7217 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 299/38, 639/7217?
Answer: LCM of Numerators as per given numbers 299/38, 639/7217 is
LCM of Numerators i.e. for 299,639 is 191061
GCF of denominators i.e. for 38,7217 is 1.
Thus, LCM of Fractions is 191061.Finally, LCM of Fractions for 299/38, 639/7217 is 191061.