Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5517/759, 3019/6575 quickly i.e. 16655823 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5517/759, 3019/6575 is 16655823.
LCM(5517/759, 3019/6575) = 16655823
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5517/759,3019/6575
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 5517,3019
Least Common Multiple of Numerators i.e. LCM of 5517,3019 is 16655823.
GCF of Denominators means GCF of 759,6575 as per the given fractions.
GCF of 759,6575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5517,3019
Given numbers has no common factors except 1. So, there LCM is their product i.e 16655823
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 5517,3019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5517,3019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5517,3019) x common factors =1 x 1 = 1
LCM(5517,3019) = ( 5517 × 3019 ) / 1
LCM(5517,3019) = 16655823 / 1
LCM(5517,3019) = 16655823
Lets's calculate GCF of 759,6575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16655823/1
Therefore the LCM of Fractions 5517/759,3019/6575 is 16655823
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 6575
List of positive integer factors of 6575 that divides 6575 without a remainder.
1,5,25,263,1315,6575
Greatest Common Factor
We found the factors 759,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 759,6575 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 5517/759, 3019/6575?
Answer: LCM of Numerators as per given numbers 5517/759, 3019/6575 is
LCM of Numerators i.e. for 5517,3019 is 16655823
GCF of denominators i.e. for 759,6575 is 1.
Thus, LCM of Fractions is 16655823.Finally, LCM of Fractions for 5517/759, 3019/6575 is 16655823.