Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 225/517, 1425/7418 quickly i.e. 4275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 225/517, 1425/7418 is 4275.
LCM(225/517, 1425/7418) = 4275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 225/517,1425/7418
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 225,1425
Least Common Multiple of Numerators i.e. LCM of 225,1425 is 4275.
GCF of Denominators means GCF of 517,7418 as per the given fractions.
GCF of 517,7418 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 225,1425
3 | 225, 1425 |
5 | 75, 475 |
5 | 15, 95 |
3, 19 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 3 x 19 = 4275
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 225,1425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,1425) = 75
common factors(in case of two or more numbers have common factors) = 1
GCF(225,1425) x common factors =75 x 1 = 75
LCM(225,1425) = ( 225 × 1425 ) / 75
LCM(225,1425) = 320625 / 75
LCM(225,1425) = 4275
Lets's calculate GCF of 517,7418
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4275/1
Therefore the LCM of Fractions 225/517,1425/7418 is 4275
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 7418
List of positive integer factors of 7418 that divides 7418 without a remainder.
1,2,3709,7418
Greatest Common Factor
We found the factors 517,7418 . The biggest common factor number is the GCF number.
So the greatest common factor 517,7418 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 225/517, 1425/7418?
Answer: LCM of Numerators as per given numbers 225/517, 1425/7418 is
LCM of Numerators i.e. for 225,1425 is 4275
GCF of denominators i.e. for 517,7418 is 1.
Thus, LCM of Fractions is 4275.Finally, LCM of Fractions for 225/517, 1425/7418 is 4275.