Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6220/494, 4106/590 quickly i.e. 6384830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6220/494, 4106/590 is 6384830.
LCM(6220/494, 4106/590) = 6384830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6220/494,4106/590
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 6220,4106
Least Common Multiple of Numerators i.e. LCM of 6220,4106 is 12769660.
GCF of Denominators means GCF of 494,590 as per the given fractions.
GCF of 494,590 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6220,4106
2 | 6220, 4106 |
3110, 2053 |
∴ So the LCM of the given numbers is 2 x 3110 x 2053 = 12769660
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 6220,4106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6220,4106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6220,4106) x common factors =2 x 1 = 2
LCM(6220,4106) = ( 6220 × 4106 ) / 2
LCM(6220,4106) = 25539320 / 2
LCM(6220,4106) = 12769660
Lets's calculate GCF of 494,590
2 | 494, 590 |
247, 295 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12769660/2
Therefore the LCM of Fractions 6220/494,4106/590 is 6384830
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 494,590 . The biggest common factor number is the GCF number.
So the greatest common factor 494,590 is 2.
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 6220/494, 4106/590?
Answer: LCM of Numerators as per given numbers 6220/494, 4106/590 is
LCM of Numerators i.e. for 6220,4106 is 12769660
GCF of denominators i.e. for 494,590 is 2.
Thus, LCM of Fractions is 6384830.Finally, LCM of Fractions for 6220/494, 4106/590 is 6384830.