Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/520, 317/231, 849/599 quickly i.e. 12649251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/520, 317/231, 849/599 is 12649251.
LCM(47/520, 317/231, 849/599) = 12649251
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/520,317/231,849/599
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 47,317,849
Least Common Multiple of Numerators i.e. LCM of 47,317,849 is 12649251.
GCF of Denominators means GCF of 520,231,599 as per the given fractions.
GCF of 520,231,599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,317,849
Given numbers has no common factors except 1. So, there LCM is their product i.e 12649251
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 47,317,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,317,849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,317,849) x common factors =1 x 1 = 1
LCM(47,317,849) = ( 47 × 317 × 849 ) / 1
LCM(47,317,849) = 12649251 / 1
LCM(47,317,849) = 12649251
Lets's calculate GCF of 520,231,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12649251/1
Therefore the LCM of Fractions 47/520,317/231,849/599 is 12649251
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 520,231,599 . The biggest common factor number is the GCF number.
So the greatest common factor 520,231,599 is 1.
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 47/520, 317/231, 849/599?
Answer: LCM of Numerators as per given numbers 47/520, 317/231, 849/599 is
LCM of Numerators i.e. for 47,317,849 is 12649251
GCF of denominators i.e. for 520,231,599 is 1.
Thus, LCM of Fractions is 12649251.Finally, LCM of Fractions for 47/520, 317/231, 849/599 is 12649251.