Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3026/339, 5896/4720 quickly i.e. 8920648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3026/339, 5896/4720 is 8920648.
LCM(3026/339, 5896/4720) = 8920648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3026/339,5896/4720
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 3026,5896
Least Common Multiple of Numerators i.e. LCM of 3026,5896 is 8920648.
GCF of Denominators means GCF of 339,4720 as per the given fractions.
GCF of 339,4720 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3026,5896
2 | 3026, 5896 |
1513, 2948 |
∴ So the LCM of the given numbers is 2 x 1513 x 2948 = 8920648
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 3026,5896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3026,5896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3026,5896) x common factors =2 x 1 = 2
LCM(3026,5896) = ( 3026 × 5896 ) / 2
LCM(3026,5896) = 17841296 / 2
LCM(3026,5896) = 8920648
Lets's calculate GCF of 339,4720
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8920648/1
Therefore the LCM of Fractions 3026/339,5896/4720 is 8920648
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 4720
List of positive integer factors of 4720 that divides 4720 without a remainder.
1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720
Greatest Common Factor
We found the factors 339,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 339,4720 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 3026/339, 5896/4720?
Answer: LCM of Numerators as per given numbers 3026/339, 5896/4720 is
LCM of Numerators i.e. for 3026,5896 is 8920648
GCF of denominators i.e. for 339,4720 is 1.
Thus, LCM of Fractions is 8920648.Finally, LCM of Fractions for 3026/339, 5896/4720 is 8920648.