Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7753/580, 4965/652 quickly i.e. 38493645/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7753/580, 4965/652 is 38493645/4.
LCM(7753/580, 4965/652) = 38493645/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7753/580,4965/652
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 7753,4965
Least Common Multiple of Numerators i.e. LCM of 7753,4965 is 38493645.
GCF of Denominators means GCF of 580,652 as per the given fractions.
GCF of 580,652 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7753,4965
Given numbers has no common factors except 1. So, there LCM is their product i.e 38493645
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 7753,4965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7753,4965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7753,4965) x common factors =1 x 1 = 1
LCM(7753,4965) = ( 7753 × 4965 ) / 1
LCM(7753,4965) = 38493645 / 1
LCM(7753,4965) = 38493645
Lets's calculate GCF of 580,652
2 | 580, 652 |
2 | 290, 326 |
145, 163 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38493645/4
Therefore the LCM of Fractions 7753/580,4965/652 is 38493645/4
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 580,652 . The biggest common factor number is the GCF number.
So the greatest common factor 580,652 is 4.
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 7753/580, 4965/652?
Answer: LCM of Numerators as per given numbers 7753/580, 4965/652 is
LCM of Numerators i.e. for 7753,4965 is 38493645
GCF of denominators i.e. for 580,652 is 4.
Thus, LCM of Fractions is 38493645/4.Finally, LCM of Fractions for 7753/580, 4965/652 is 38493645/4.