Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/225, 6607/1069 quickly i.e. 118926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/225, 6607/1069 is 118926.
LCM(18/225, 6607/1069) = 118926
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/225,6607/1069
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 18,6607
Least Common Multiple of Numerators i.e. LCM of 18,6607 is 118926.
GCF of Denominators means GCF of 225,1069 as per the given fractions.
GCF of 225,1069 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,6607
Given numbers has no common factors except 1. So, there LCM is their product i.e 118926
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 18,6607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,6607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,6607) x common factors =1 x 1 = 1
LCM(18,6607) = ( 18 × 6607 ) / 1
LCM(18,6607) = 118926 / 1
LCM(18,6607) = 118926
Lets's calculate GCF of 225,1069
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118926/1
Therefore the LCM of Fractions 18/225,6607/1069 is 118926
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 1069
List of positive integer factors of 1069 that divides 1069 without a remainder.
1,1069
Greatest Common Factor
We found the factors 225,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 225,1069 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 18/225, 6607/1069?
Answer: LCM of Numerators as per given numbers 18/225, 6607/1069 is
LCM of Numerators i.e. for 18,6607 is 118926
GCF of denominators i.e. for 225,1069 is 1.
Thus, LCM of Fractions is 118926.Finally, LCM of Fractions for 18/225, 6607/1069 is 118926.