Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 305/229, 513/998, 222/558 quickly i.e. 11578410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 305/229, 513/998, 222/558 is 11578410.
LCM(305/229, 513/998, 222/558) = 11578410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 305/229,513/998,222/558
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 305,513,222
Least Common Multiple of Numerators i.e. LCM of 305,513,222 is 11578410.
GCF of Denominators means GCF of 229,998,558 as per the given fractions.
GCF of 229,998,558 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 305,513,222
3 | 305, 513, 222 |
305, 171, 74 |
∴ So the LCM of the given numbers is 3 x 305 x 171 x 74 = 11578410
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 305,513,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,513,222) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(305,513,222) x common factors =1 x 3 = 3
LCM(305,513,222) = ( 305 × 513 × 222 ) / 3
LCM(305,513,222) = 34735230 / 3
LCM(305,513,222) = 11578410
Lets's calculate GCF of 229,998,558
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11578410/1
Therefore the LCM of Fractions 305/229,513/998,222/558 is 11578410
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 229,998,558 . The biggest common factor number is the GCF number.
So the greatest common factor 229,998,558 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 305/229, 513/998, 222/558?
Answer: LCM of Numerators as per given numbers 305/229, 513/998, 222/558 is
LCM of Numerators i.e. for 305,513,222 is 11578410
GCF of denominators i.e. for 229,998,558 is 1.
Thus, LCM of Fractions is 11578410.Finally, LCM of Fractions for 305/229, 513/998, 222/558 is 11578410.