Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8563/443, 6904/7781 quickly i.e. 59118952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8563/443, 6904/7781 is 59118952.
LCM(8563/443, 6904/7781) = 59118952
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8563/443,6904/7781
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 8563,6904
Least Common Multiple of Numerators i.e. LCM of 8563,6904 is 59118952.
GCF of Denominators means GCF of 443,7781 as per the given fractions.
GCF of 443,7781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8563,6904
Given numbers has no common factors except 1. So, there LCM is their product i.e 59118952
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 8563,6904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8563,6904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8563,6904) x common factors =1 x 1 = 1
LCM(8563,6904) = ( 8563 × 6904 ) / 1
LCM(8563,6904) = 59118952 / 1
LCM(8563,6904) = 59118952
Lets's calculate GCF of 443,7781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59118952/1
Therefore the LCM of Fractions 8563/443,6904/7781 is 59118952
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 7781
List of positive integer factors of 7781 that divides 7781 without a remainder.
1,31,251,7781
Greatest Common Factor
We found the factors 443,7781 . The biggest common factor number is the GCF number.
So the greatest common factor 443,7781 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 8563/443, 6904/7781?
Answer: LCM of Numerators as per given numbers 8563/443, 6904/7781 is
LCM of Numerators i.e. for 8563,6904 is 59118952
GCF of denominators i.e. for 443,7781 is 1.
Thus, LCM of Fractions is 59118952.Finally, LCM of Fractions for 8563/443, 6904/7781 is 59118952.