Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6259/115, 5669/8815 quickly i.e. 35482271/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6259/115, 5669/8815 is 35482271/5.
LCM(6259/115, 5669/8815) = 35482271/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6259/115,5669/8815
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 6259,5669
Least Common Multiple of Numerators i.e. LCM of 6259,5669 is 35482271.
GCF of Denominators means GCF of 115,8815 as per the given fractions.
GCF of 115,8815 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6259,5669
Given numbers has no common factors except 1. So, there LCM is their product i.e 35482271
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 6259,5669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6259,5669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6259,5669) x common factors =1 x 1 = 1
LCM(6259,5669) = ( 6259 × 5669 ) / 1
LCM(6259,5669) = 35482271 / 1
LCM(6259,5669) = 35482271
Lets's calculate GCF of 115,8815
5 | 115, 8815 |
23, 1763 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35482271/5
Therefore the LCM of Fractions 6259/115,5669/8815 is 35482271/5
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 8815
List of positive integer factors of 8815 that divides 8815 without a remainder.
1,5,41,43,205,215,1763,8815
Greatest Common Factor
We found the factors 115,8815 . The biggest common factor number is the GCF number.
So the greatest common factor 115,8815 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 6259/115, 5669/8815?
Answer: LCM of Numerators as per given numbers 6259/115, 5669/8815 is
LCM of Numerators i.e. for 6259,5669 is 35482271
GCF of denominators i.e. for 115,8815 is 5.
Thus, LCM of Fractions is 35482271/5.Finally, LCM of Fractions for 6259/115, 5669/8815 is 35482271/5.