Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/316, 47/825, 523/915 quickly i.e. 958659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/316, 47/825, 523/915 is 958659.
LCM(39/316, 47/825, 523/915) = 958659
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/316,47/825,523/915
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 39,47,523
Least Common Multiple of Numerators i.e. LCM of 39,47,523 is 958659.
GCF of Denominators means GCF of 316,825,915 as per the given fractions.
GCF of 316,825,915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,47,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 958659
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 39,47,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,47,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,47,523) x common factors =1 x 1 = 1
LCM(39,47,523) = ( 39 × 47 × 523 ) / 1
LCM(39,47,523) = 958659 / 1
LCM(39,47,523) = 958659
Lets's calculate GCF of 316,825,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 958659/1
Therefore the LCM of Fractions 39/316,47/825,523/915 is 958659
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 316,825,915 . The biggest common factor number is the GCF number.
So the greatest common factor 316,825,915 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 39/316, 47/825, 523/915?
Answer: LCM of Numerators as per given numbers 39/316, 47/825, 523/915 is
LCM of Numerators i.e. for 39,47,523 is 958659
GCF of denominators i.e. for 316,825,915 is 1.
Thus, LCM of Fractions is 958659.Finally, LCM of Fractions for 39/316, 47/825, 523/915 is 958659.