Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 225/401, 410/617, 460/599 quickly i.e. 848700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 225/401, 410/617, 460/599 is 848700.
LCM(225/401, 410/617, 460/599) = 848700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 225/401,410/617,460/599
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 225,410,460
Least Common Multiple of Numerators i.e. LCM of 225,410,460 is 848700.
GCF of Denominators means GCF of 401,617,599 as per the given fractions.
GCF of 401,617,599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 225,410,460
2 | 225, 410, 460 |
5 | 225, 205, 230 |
45, 41, 46 |
∴ So the LCM of the given numbers is 2 x 5 x 45 x 41 x 46 = 848700
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 225,410,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,410,460) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(225,410,460) x common factors =5 x 10 = 50
LCM(225,410,460) = ( 225 × 410 × 460 ) / 50
LCM(225,410,460) = 42435000 / 50
LCM(225,410,460) = 848700
Lets's calculate GCF of 401,617,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 848700/1
Therefore the LCM of Fractions 225/401,410/617,460/599 is 848700
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 401,617,599 . The biggest common factor number is the GCF number.
So the greatest common factor 401,617,599 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 225/401, 410/617, 460/599?
Answer: LCM of Numerators as per given numbers 225/401, 410/617, 460/599 is
LCM of Numerators i.e. for 225,410,460 is 848700
GCF of denominators i.e. for 401,617,599 is 1.
Thus, LCM of Fractions is 848700.Finally, LCM of Fractions for 225/401, 410/617, 460/599 is 848700.