Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8018/93, 3597/565 quickly i.e. 28840746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8018/93, 3597/565 is 28840746.
LCM(8018/93, 3597/565) = 28840746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8018/93,3597/565
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 8018,3597
Least Common Multiple of Numerators i.e. LCM of 8018,3597 is 28840746.
GCF of Denominators means GCF of 93,565 as per the given fractions.
GCF of 93,565 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8018,3597
Given numbers has no common factors except 1. So, there LCM is their product i.e 28840746
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 8018,3597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8018,3597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8018,3597) x common factors =1 x 1 = 1
LCM(8018,3597) = ( 8018 × 3597 ) / 1
LCM(8018,3597) = 28840746 / 1
LCM(8018,3597) = 28840746
Lets's calculate GCF of 93,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28840746/1
Therefore the LCM of Fractions 8018/93,3597/565 is 28840746
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 93,565 . The biggest common factor number is the GCF number.
So the greatest common factor 93,565 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 8018/93, 3597/565?
Answer: LCM of Numerators as per given numbers 8018/93, 3597/565 is
LCM of Numerators i.e. for 8018,3597 is 28840746
GCF of denominators i.e. for 93,565 is 1.
Thus, LCM of Fractions is 28840746.Finally, LCM of Fractions for 8018/93, 3597/565 is 28840746.