Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 713/565, 8638/9988 quickly i.e. 6158894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 713/565, 8638/9988 is 6158894.
LCM(713/565, 8638/9988) = 6158894
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 713/565,8638/9988
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 713,8638
Least Common Multiple of Numerators i.e. LCM of 713,8638 is 6158894.
GCF of Denominators means GCF of 565,9988 as per the given fractions.
GCF of 565,9988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 713,8638
Given numbers has no common factors except 1. So, there LCM is their product i.e 6158894
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 713,8638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,8638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,8638) x common factors =1 x 1 = 1
LCM(713,8638) = ( 713 × 8638 ) / 1
LCM(713,8638) = 6158894 / 1
LCM(713,8638) = 6158894
Lets's calculate GCF of 565,9988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6158894/1
Therefore the LCM of Fractions 713/565,8638/9988 is 6158894
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 9988
List of positive integer factors of 9988 that divides 9988 without a remainder.
1,2,4,11,22,44,227,454,908,2497,4994,9988
Greatest Common Factor
We found the factors 565,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 565,9988 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 713/565, 8638/9988?
Answer: LCM of Numerators as per given numbers 713/565, 8638/9988 is
LCM of Numerators i.e. for 713,8638 is 6158894
GCF of denominators i.e. for 565,9988 is 1.
Thus, LCM of Fractions is 6158894.Finally, LCM of Fractions for 713/565, 8638/9988 is 6158894.