Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 969/25, 449/2007 quickly i.e. 435081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 969/25, 449/2007 is 435081.
LCM(969/25, 449/2007) = 435081
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 969/25,449/2007
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 969,449
Least Common Multiple of Numerators i.e. LCM of 969,449 is 435081.
GCF of Denominators means GCF of 25,2007 as per the given fractions.
GCF of 25,2007 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 969,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 435081
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 969,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,449) x common factors =1 x 1 = 1
LCM(969,449) = ( 969 × 449 ) / 1
LCM(969,449) = 435081 / 1
LCM(969,449) = 435081
Lets's calculate GCF of 25,2007
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435081/1
Therefore the LCM of Fractions 969/25,449/2007 is 435081
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 2007
List of positive integer factors of 2007 that divides 2007 without a remainder.
1,3,9,223,669,2007
Greatest Common Factor
We found the factors 25,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 25,2007 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 969/25, 449/2007?
Answer: LCM of Numerators as per given numbers 969/25, 449/2007 is
LCM of Numerators i.e. for 969,449 is 435081
GCF of denominators i.e. for 25,2007 is 1.
Thus, LCM of Fractions is 435081.Finally, LCM of Fractions for 969/25, 449/2007 is 435081.