Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8317/348, 2819/1014 quickly i.e. 23445623/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8317/348, 2819/1014 is 23445623/6.
LCM(8317/348, 2819/1014) = 23445623/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8317/348,2819/1014
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 8317,2819
Least Common Multiple of Numerators i.e. LCM of 8317,2819 is 23445623.
GCF of Denominators means GCF of 348,1014 as per the given fractions.
GCF of 348,1014 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8317,2819
Given numbers has no common factors except 1. So, there LCM is their product i.e 23445623
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 8317,2819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8317,2819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8317,2819) x common factors =1 x 1 = 1
LCM(8317,2819) = ( 8317 × 2819 ) / 1
LCM(8317,2819) = 23445623 / 1
LCM(8317,2819) = 23445623
Lets's calculate GCF of 348,1014
2 | 348, 1014 |
3 | 174, 507 |
58, 169 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23445623/6
Therefore the LCM of Fractions 8317/348,2819/1014 is 23445623/6
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 1014
List of positive integer factors of 1014 that divides 1014 without a remainder.
1,2,3,6,13,26,39,78,169,338,507,1014
Greatest Common Factor
We found the factors 348,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 348,1014 is 6.
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 8317/348, 2819/1014?
Answer: LCM of Numerators as per given numbers 8317/348, 2819/1014 is
LCM of Numerators i.e. for 8317,2819 is 23445623
GCF of denominators i.e. for 348,1014 is 6.
Thus, LCM of Fractions is 23445623/6.Finally, LCM of Fractions for 8317/348, 2819/1014 is 23445623/6.