Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/13, 39/64, 158/915 quickly i.e. 511446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/13, 39/64, 158/915 is 511446.
LCM(83/13, 39/64, 158/915) = 511446
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/13,39/64,158/915
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 83,39,158
Least Common Multiple of Numerators i.e. LCM of 83,39,158 is 511446.
GCF of Denominators means GCF of 13,64,915 as per the given fractions.
GCF of 13,64,915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,39,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 511446
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 83,39,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,39,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,39,158) x common factors =1 x 1 = 1
LCM(83,39,158) = ( 83 × 39 × 158 ) / 1
LCM(83,39,158) = 511446 / 1
LCM(83,39,158) = 511446
Lets's calculate GCF of 13,64,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511446/1
Therefore the LCM of Fractions 83/13,39/64,158/915 is 511446
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
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 13,64,915 . The biggest common factor number is the GCF number.
So the greatest common factor 13,64,915 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 83/13, 39/64, 158/915?
Answer: LCM of Numerators as per given numbers 83/13, 39/64, 158/915 is
LCM of Numerators i.e. for 83,39,158 is 511446
GCF of denominators i.e. for 13,64,915 is 1.
Thus, LCM of Fractions is 511446.Finally, LCM of Fractions for 83/13, 39/64, 158/915 is 511446.