Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 628/820, 5812/6668 quickly i.e. 228121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 628/820, 5812/6668 is 228121.
LCM(628/820, 5812/6668) = 228121
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 628/820,5812/6668
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 628,5812
Least Common Multiple of Numerators i.e. LCM of 628,5812 is 912484.
GCF of Denominators means GCF of 820,6668 as per the given fractions.
GCF of 820,6668 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 628,5812
2 | 628, 5812 |
2 | 314, 2906 |
157, 1453 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 1453 = 912484
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 628,5812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,5812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(628,5812) x common factors =4 x 1 = 4
LCM(628,5812) = ( 628 × 5812 ) / 4
LCM(628,5812) = 3649936 / 4
LCM(628,5812) = 912484
Lets's calculate GCF of 820,6668
2 | 820, 6668 |
2 | 410, 3334 |
205, 1667 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912484/4
Therefore the LCM of Fractions 628/820,5812/6668 is 228121
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 6668
List of positive integer factors of 6668 that divides 6668 without a remainder.
1,2,4,1667,3334,6668
Greatest Common Factor
We found the factors 820,6668 . The biggest common factor number is the GCF number.
So the greatest common factor 820,6668 is 4.
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 628/820, 5812/6668?
Answer: LCM of Numerators as per given numbers 628/820, 5812/6668 is
LCM of Numerators i.e. for 628,5812 is 912484
GCF of denominators i.e. for 820,6668 is 4.
Thus, LCM of Fractions is 228121.Finally, LCM of Fractions for 628/820, 5812/6668 is 228121.