Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5036/860, 3491/559 quickly i.e. 17580676/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5036/860, 3491/559 is 17580676/43.
LCM(5036/860, 3491/559) = 17580676/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5036/860,3491/559
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 5036,3491
Least Common Multiple of Numerators i.e. LCM of 5036,3491 is 17580676.
GCF of Denominators means GCF of 860,559 as per the given fractions.
GCF of 860,559 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5036,3491
Given numbers has no common factors except 1. So, there LCM is their product i.e 17580676
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 5036,3491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5036,3491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5036,3491) x common factors =1 x 1 = 1
LCM(5036,3491) = ( 5036 × 3491 ) / 1
LCM(5036,3491) = 17580676 / 1
LCM(5036,3491) = 17580676
Lets's calculate GCF of 860,559
43 | 860, 559 |
20, 13 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17580676/43
Therefore the LCM of Fractions 5036/860,3491/559 is 17580676/43
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Greatest Common Factor
We found the factors 860,559 . The biggest common factor number is the GCF number.
So the greatest common factor 860,559 is 43.
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 5036/860, 3491/559?
Answer: LCM of Numerators as per given numbers 5036/860, 3491/559 is
LCM of Numerators i.e. for 5036,3491 is 17580676
GCF of denominators i.e. for 860,559 is 43.
Thus, LCM of Fractions is 17580676/43.Finally, LCM of Fractions for 5036/860, 3491/559 is 17580676/43.