Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 413/32, 356/2517 quickly i.e. 147028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 413/32, 356/2517 is 147028.
LCM(413/32, 356/2517) = 147028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 413/32,356/2517
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 413,356
Least Common Multiple of Numerators i.e. LCM of 413,356 is 147028.
GCF of Denominators means GCF of 32,2517 as per the given fractions.
GCF of 32,2517 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 413,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 147028
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 413,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,356) x common factors =1 x 1 = 1
LCM(413,356) = ( 413 × 356 ) / 1
LCM(413,356) = 147028 / 1
LCM(413,356) = 147028
Lets's calculate GCF of 32,2517
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147028/1
Therefore the LCM of Fractions 413/32,356/2517 is 147028
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 2517
List of positive integer factors of 2517 that divides 2517 without a remainder.
1,3,839,2517
Greatest Common Factor
We found the factors 32,2517 . The biggest common factor number is the GCF number.
So the greatest common factor 32,2517 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 413/32, 356/2517?
Answer: LCM of Numerators as per given numbers 413/32, 356/2517 is
LCM of Numerators i.e. for 413,356 is 147028
GCF of denominators i.e. for 32,2517 is 1.
Thus, LCM of Fractions is 147028.Finally, LCM of Fractions for 413/32, 356/2517 is 147028.