Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1282/380, 8073/816 quickly i.e. 10349586/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1282/380, 8073/816 is 10349586/4.
LCM(1282/380, 8073/816) = 10349586/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1282/380,8073/816
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 1282,8073
Least Common Multiple of Numerators i.e. LCM of 1282,8073 is 10349586.
GCF of Denominators means GCF of 380,816 as per the given fractions.
GCF of 380,816 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1282,8073
Given numbers has no common factors except 1. So, there LCM is their product i.e 10349586
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 1282,8073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1282,8073) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1282,8073) x common factors =1 x 1 = 1
LCM(1282,8073) = ( 1282 × 8073 ) / 1
LCM(1282,8073) = 10349586 / 1
LCM(1282,8073) = 10349586
Lets's calculate GCF of 380,816
2 | 380, 816 |
2 | 190, 408 |
95, 204 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10349586/4
Therefore the LCM of Fractions 1282/380,8073/816 is 10349586/4
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 380,816 . The biggest common factor number is the GCF number.
So the greatest common factor 380,816 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 1282/380, 8073/816?
Answer: LCM of Numerators as per given numbers 1282/380, 8073/816 is
LCM of Numerators i.e. for 1282,8073 is 10349586
GCF of denominators i.e. for 380,816 is 4.
Thus, LCM of Fractions is 10349586/4.Finally, LCM of Fractions for 1282/380, 8073/816 is 10349586/4.