Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9621/502, 5346/820 quickly i.e. 2857437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9621/502, 5346/820 is 2857437.
LCM(9621/502, 5346/820) = 2857437
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9621/502,5346/820
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 9621,5346
Least Common Multiple of Numerators i.e. LCM of 9621,5346 is 5714874.
GCF of Denominators means GCF of 502,820 as per the given fractions.
GCF of 502,820 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9621,5346
3 | 9621, 5346 |
3 | 3207, 1782 |
1069, 594 |
∴ So the LCM of the given numbers is 3 x 3 x 1069 x 594 = 5714874
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 9621,5346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9621,5346) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(9621,5346) x common factors =9 x 1 = 9
LCM(9621,5346) = ( 9621 × 5346 ) / 9
LCM(9621,5346) = 51433866 / 9
LCM(9621,5346) = 5714874
Lets's calculate GCF of 502,820
2 | 502, 820 |
251, 410 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5714874/2
Therefore the LCM of Fractions 9621/502,5346/820 is 2857437
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
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
Greatest Common Factor
We found the factors 502,820 . The biggest common factor number is the GCF number.
So the greatest common factor 502,820 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 9621/502, 5346/820?
Answer: LCM of Numerators as per given numbers 9621/502, 5346/820 is
LCM of Numerators i.e. for 9621,5346 is 5714874
GCF of denominators i.e. for 502,820 is 2.
Thus, LCM of Fractions is 2857437.Finally, LCM of Fractions for 9621/502, 5346/820 is 2857437.