Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 299/28, 971/5905 quickly i.e. 290329 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 299/28, 971/5905 is 290329.
LCM(299/28, 971/5905) = 290329
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 299/28,971/5905
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 299,971
Least Common Multiple of Numerators i.e. LCM of 299,971 is 290329.
GCF of Denominators means GCF of 28,5905 as per the given fractions.
GCF of 28,5905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 299,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 290329
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 299,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,971) x common factors =1 x 1 = 1
LCM(299,971) = ( 299 × 971 ) / 1
LCM(299,971) = 290329 / 1
LCM(299,971) = 290329
Lets's calculate GCF of 28,5905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290329/1
Therefore the LCM of Fractions 299/28,971/5905 is 290329
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 5905
List of positive integer factors of 5905 that divides 5905 without a remainder.
1,5,1181,5905
Greatest Common Factor
We found the factors 28,5905 . The biggest common factor number is the GCF number.
So the greatest common factor 28,5905 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 299/28, 971/5905?
Answer: LCM of Numerators as per given numbers 299/28, 971/5905 is
LCM of Numerators i.e. for 299,971 is 290329
GCF of denominators i.e. for 28,5905 is 1.
Thus, LCM of Fractions is 290329.Finally, LCM of Fractions for 299/28, 971/5905 is 290329.