Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 515/132, 5487/837 quickly i.e. 941935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 515/132, 5487/837 is 941935.
LCM(515/132, 5487/837) = 941935
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 515/132,5487/837
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 515,5487
Least Common Multiple of Numerators i.e. LCM of 515,5487 is 2825805.
GCF of Denominators means GCF of 132,837 as per the given fractions.
GCF of 132,837 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 515,5487
Given numbers has no common factors except 1. So, there LCM is their product i.e 2825805
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 515,5487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,5487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,5487) x common factors =1 x 1 = 1
LCM(515,5487) = ( 515 × 5487 ) / 1
LCM(515,5487) = 2825805 / 1
LCM(515,5487) = 2825805
Lets's calculate GCF of 132,837
3 | 132, 837 |
44, 279 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2825805/3
Therefore the LCM of Fractions 515/132,5487/837 is 941935
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 132,837 . The biggest common factor number is the GCF number.
So the greatest common factor 132,837 is 3.
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 515/132, 5487/837?
Answer: LCM of Numerators as per given numbers 515/132, 5487/837 is
LCM of Numerators i.e. for 515,5487 is 2825805
GCF of denominators i.e. for 132,837 is 3.
Thus, LCM of Fractions is 941935.Finally, LCM of Fractions for 515/132, 5487/837 is 941935.