Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7725/445, 7133/8555 quickly i.e. 11020485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7725/445, 7133/8555 is 11020485.
LCM(7725/445, 7133/8555) = 11020485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7725/445,7133/8555
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 7725,7133
Least Common Multiple of Numerators i.e. LCM of 7725,7133 is 55102425.
GCF of Denominators means GCF of 445,8555 as per the given fractions.
GCF of 445,8555 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7725,7133
Given numbers has no common factors except 1. So, there LCM is their product i.e 55102425
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 7725,7133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7725,7133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7725,7133) x common factors =1 x 1 = 1
LCM(7725,7133) = ( 7725 × 7133 ) / 1
LCM(7725,7133) = 55102425 / 1
LCM(7725,7133) = 55102425
Lets's calculate GCF of 445,8555
5 | 445, 8555 |
89, 1711 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55102425/5
Therefore the LCM of Fractions 7725/445,7133/8555 is 11020485
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 8555
List of positive integer factors of 8555 that divides 8555 without a remainder.
1,5,29,59,145,295,1711,8555
Greatest Common Factor
We found the factors 445,8555 . The biggest common factor number is the GCF number.
So the greatest common factor 445,8555 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 7725/445, 7133/8555?
Answer: LCM of Numerators as per given numbers 7725/445, 7133/8555 is
LCM of Numerators i.e. for 7725,7133 is 55102425
GCF of denominators i.e. for 445,8555 is 5.
Thus, LCM of Fractions is 11020485.Finally, LCM of Fractions for 7725/445, 7133/8555 is 11020485.