Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 806/458, 9096/620 quickly i.e. 1832844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 806/458, 9096/620 is 1832844.
LCM(806/458, 9096/620) = 1832844
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 806/458,9096/620
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 806,9096
Least Common Multiple of Numerators i.e. LCM of 806,9096 is 3665688.
GCF of Denominators means GCF of 458,620 as per the given fractions.
GCF of 458,620 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 806,9096
2 | 806, 9096 |
403, 4548 |
∴ So the LCM of the given numbers is 2 x 403 x 4548 = 3665688
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 806,9096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,9096) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,9096) x common factors =2 x 1 = 2
LCM(806,9096) = ( 806 × 9096 ) / 2
LCM(806,9096) = 7331376 / 2
LCM(806,9096) = 3665688
Lets's calculate GCF of 458,620
2 | 458, 620 |
229, 310 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3665688/2
Therefore the LCM of Fractions 806/458,9096/620 is 1832844
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 458,620 . The biggest common factor number is the GCF number.
So the greatest common factor 458,620 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 806/458, 9096/620?
Answer: LCM of Numerators as per given numbers 806/458, 9096/620 is
LCM of Numerators i.e. for 806,9096 is 3665688
GCF of denominators i.e. for 458,620 is 2.
Thus, LCM of Fractions is 1832844.Finally, LCM of Fractions for 806/458, 9096/620 is 1832844.