Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 296/39, 591/39, 929/260 quickly i.e. 162515544/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 296/39, 591/39, 929/260 is 162515544/13.
LCM(296/39, 591/39, 929/260) = 162515544/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 296/39,591/39,929/260
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 296,591,929
Least Common Multiple of Numerators i.e. LCM of 296,591,929 is 162515544.
GCF of Denominators means GCF of 39,39,260 as per the given fractions.
GCF of 39,39,260 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 296,591,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 162515544
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 296,591,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,591,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,591,929) x common factors =1 x 1 = 1
LCM(296,591,929) = ( 296 × 591 × 929 ) / 1
LCM(296,591,929) = 162515544 / 1
LCM(296,591,929) = 162515544
Lets's calculate GCF of 39,39,260
13 | 39, 39, 260 |
3, 3, 20 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162515544/13
Therefore the LCM of Fractions 296/39,591/39,929/260 is 162515544/13
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 39,39,260 . The biggest common factor number is the GCF number.
So the greatest common factor 39,39,260 is 13.
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 296/39, 591/39, 929/260?
Answer: LCM of Numerators as per given numbers 296/39, 591/39, 929/260 is
LCM of Numerators i.e. for 296,591,929 is 162515544
GCF of denominators i.e. for 39,39,260 is 13.
Thus, LCM of Fractions is 162515544/13.Finally, LCM of Fractions for 296/39, 591/39, 929/260 is 162515544/13.