Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 509/29, 615/88, 523/839 quickly i.e. 163717305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 509/29, 615/88, 523/839 is 163717305.
LCM(509/29, 615/88, 523/839) = 163717305
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 509/29,615/88,523/839
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 509,615,523
Least Common Multiple of Numerators i.e. LCM of 509,615,523 is 163717305.
GCF of Denominators means GCF of 29,88,839 as per the given fractions.
GCF of 29,88,839 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 509,615,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 163717305
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 509,615,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,615,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,615,523) x common factors =1 x 1 = 1
LCM(509,615,523) = ( 509 × 615 × 523 ) / 1
LCM(509,615,523) = 163717305 / 1
LCM(509,615,523) = 163717305
Lets's calculate GCF of 29,88,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163717305/1
Therefore the LCM of Fractions 509/29,615/88,523/839 is 163717305
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Greatest Common Factor
We found the factors 29,88,839 . The biggest common factor number is the GCF number.
So the greatest common factor 29,88,839 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 509/29, 615/88, 523/839?
Answer: LCM of Numerators as per given numbers 509/29, 615/88, 523/839 is
LCM of Numerators i.e. for 509,615,523 is 163717305
GCF of denominators i.e. for 29,88,839 is 1.
Thus, LCM of Fractions is 163717305.Finally, LCM of Fractions for 509/29, 615/88, 523/839 is 163717305.