Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/67, 25/709, 449/223 quickly i.e. 145925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/67, 25/709, 449/223 is 145925.
LCM(65/67, 25/709, 449/223) = 145925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/67,25/709,449/223
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 65,25,449
Least Common Multiple of Numerators i.e. LCM of 65,25,449 is 145925.
GCF of Denominators means GCF of 67,709,223 as per the given fractions.
GCF of 67,709,223 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,25,449
5 | 65, 25, 449 |
13, 5, 449 |
∴ So the LCM of the given numbers is 5 x 13 x 5 x 449 = 145925
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 65,25,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,25,449) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,25,449) x common factors =1 x 5 = 5
LCM(65,25,449) = ( 65 × 25 × 449 ) / 5
LCM(65,25,449) = 729625 / 5
LCM(65,25,449) = 145925
Lets's calculate GCF of 67,709,223
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145925/1
Therefore the LCM of Fractions 65/67,25/709,449/223 is 145925
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Greatest Common Factor
We found the factors 67,709,223 . The biggest common factor number is the GCF number.
So the greatest common factor 67,709,223 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 65/67, 25/709, 449/223?
Answer: LCM of Numerators as per given numbers 65/67, 25/709, 449/223 is
LCM of Numerators i.e. for 65,25,449 is 145925
GCF of denominators i.e. for 67,709,223 is 1.
Thus, LCM of Fractions is 145925.Finally, LCM of Fractions for 65/67, 25/709, 449/223 is 145925.