Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5513/660, 1195/680 quickly i.e. 6588035/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5513/660, 1195/680 is 6588035/20.
LCM(5513/660, 1195/680) = 6588035/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5513/660,1195/680
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 5513,1195
Least Common Multiple of Numerators i.e. LCM of 5513,1195 is 6588035.
GCF of Denominators means GCF of 660,680 as per the given fractions.
GCF of 660,680 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5513,1195
Given numbers has no common factors except 1. So, there LCM is their product i.e 6588035
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 5513,1195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5513,1195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5513,1195) x common factors =1 x 1 = 1
LCM(5513,1195) = ( 5513 × 1195 ) / 1
LCM(5513,1195) = 6588035 / 1
LCM(5513,1195) = 6588035
Lets's calculate GCF of 660,680
2 | 660, 680 |
2 | 330, 340 |
5 | 165, 170 |
33, 34 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6588035/20
Therefore the LCM of Fractions 5513/660,1195/680 is 6588035/20
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 660,680 . The biggest common factor number is the GCF number.
So the greatest common factor 660,680 is 20.
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 5513/660, 1195/680?
Answer: LCM of Numerators as per given numbers 5513/660, 1195/680 is
LCM of Numerators i.e. for 5513,1195 is 6588035
GCF of denominators i.e. for 660,680 is 20.
Thus, LCM of Fractions is 6588035/20.Finally, LCM of Fractions for 5513/660, 1195/680 is 6588035/20.