Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5515/755, 4931/2015 quickly i.e. 5438893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5515/755, 4931/2015 is 5438893.
LCM(5515/755, 4931/2015) = 5438893
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5515/755,4931/2015
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 5515,4931
Least Common Multiple of Numerators i.e. LCM of 5515,4931 is 27194465.
GCF of Denominators means GCF of 755,2015 as per the given fractions.
GCF of 755,2015 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5515,4931
Given numbers has no common factors except 1. So, there LCM is their product i.e 27194465
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 5515,4931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5515,4931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5515,4931) x common factors =1 x 1 = 1
LCM(5515,4931) = ( 5515 × 4931 ) / 1
LCM(5515,4931) = 27194465 / 1
LCM(5515,4931) = 27194465
Lets's calculate GCF of 755,2015
5 | 755, 2015 |
151, 403 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27194465/5
Therefore the LCM of Fractions 5515/755,4931/2015 is 5438893
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 2015
List of positive integer factors of 2015 that divides 2015 without a remainder.
1,5,13,31,65,155,403,2015
Greatest Common Factor
We found the factors 755,2015 . The biggest common factor number is the GCF number.
So the greatest common factor 755,2015 is 5.
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 5515/755, 4931/2015?
Answer: LCM of Numerators as per given numbers 5515/755, 4931/2015 is
LCM of Numerators i.e. for 5515,4931 is 27194465
GCF of denominators i.e. for 755,2015 is 5.
Thus, LCM of Fractions is 5438893.Finally, LCM of Fractions for 5515/755, 4931/2015 is 5438893.