Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8567/583, 6594/440 quickly i.e. 56490798/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8567/583, 6594/440 is 56490798/11.
LCM(8567/583, 6594/440) = 56490798/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8567/583,6594/440
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 8567,6594
Least Common Multiple of Numerators i.e. LCM of 8567,6594 is 56490798.
GCF of Denominators means GCF of 583,440 as per the given fractions.
GCF of 583,440 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8567,6594
Given numbers has no common factors except 1. So, there LCM is their product i.e 56490798
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 8567,6594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8567,6594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8567,6594) x common factors =1 x 1 = 1
LCM(8567,6594) = ( 8567 × 6594 ) / 1
LCM(8567,6594) = 56490798 / 1
LCM(8567,6594) = 56490798
Lets's calculate GCF of 583,440
11 | 583, 440 |
53, 40 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56490798/11
Therefore the LCM of Fractions 8567/583,6594/440 is 56490798/11
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 583,440 . The biggest common factor number is the GCF number.
So the greatest common factor 583,440 is 11.
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 8567/583, 6594/440?
Answer: LCM of Numerators as per given numbers 8567/583, 6594/440 is
LCM of Numerators i.e. for 8567,6594 is 56490798
GCF of denominators i.e. for 583,440 is 11.
Thus, LCM of Fractions is 56490798/11.Finally, LCM of Fractions for 8567/583, 6594/440 is 56490798/11.