Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 801/309, 3839/342 quickly i.e. 1025013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 801/309, 3839/342 is 1025013.
LCM(801/309, 3839/342) = 1025013
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 801/309,3839/342
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 801,3839
Least Common Multiple of Numerators i.e. LCM of 801,3839 is 3075039.
GCF of Denominators means GCF of 309,342 as per the given fractions.
GCF of 309,342 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 801,3839
Given numbers has no common factors except 1. So, there LCM is their product i.e 3075039
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 801,3839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,3839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(801,3839) x common factors =1 x 1 = 1
LCM(801,3839) = ( 801 × 3839 ) / 1
LCM(801,3839) = 3075039 / 1
LCM(801,3839) = 3075039
Lets's calculate GCF of 309,342
3 | 309, 342 |
103, 114 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3075039/3
Therefore the LCM of Fractions 801/309,3839/342 is 1025013
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 309,342 . The biggest common factor number is the GCF number.
So the greatest common factor 309,342 is 3.
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 801/309, 3839/342?
Answer: LCM of Numerators as per given numbers 801/309, 3839/342 is
LCM of Numerators i.e. for 801,3839 is 3075039
GCF of denominators i.e. for 309,342 is 3.
Thus, LCM of Fractions is 1025013.Finally, LCM of Fractions for 801/309, 3839/342 is 1025013.