Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1321/339, 4606/226 quickly i.e. 6084526/113 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1321/339, 4606/226 is 6084526/113.
LCM(1321/339, 4606/226) = 6084526/113
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1321/339,4606/226
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 1321,4606
Least Common Multiple of Numerators i.e. LCM of 1321,4606 is 6084526.
GCF of Denominators means GCF of 339,226 as per the given fractions.
GCF of 339,226 is 113 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1321,4606
Given numbers has no common factors except 1. So, there LCM is their product i.e 6084526
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 1321,4606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1321,4606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1321,4606) x common factors =1 x 1 = 1
LCM(1321,4606) = ( 1321 × 4606 ) / 1
LCM(1321,4606) = 6084526 / 1
LCM(1321,4606) = 6084526
Lets's calculate GCF of 339,226
113 | 339, 226 |
3, 2 |
∴ So the GCF of the given numbers is 113 = 113
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6084526/113
Therefore the LCM of Fractions 1321/339,4606/226 is 6084526/113
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 339,226 . The biggest common factor number is the GCF number.
So the greatest common factor 339,226 is 113.
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 1321/339, 4606/226?
Answer: LCM of Numerators as per given numbers 1321/339, 4606/226 is
LCM of Numerators i.e. for 1321,4606 is 6084526
GCF of denominators i.e. for 339,226 is 113.
Thus, LCM of Fractions is 6084526/113.Finally, LCM of Fractions for 1321/339, 4606/226 is 6084526/113.