Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 229/418, 4130/690 quickly i.e. 472885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 229/418, 4130/690 is 472885.
LCM(229/418, 4130/690) = 472885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 229/418,4130/690
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 229,4130
Least Common Multiple of Numerators i.e. LCM of 229,4130 is 945770.
GCF of Denominators means GCF of 418,690 as per the given fractions.
GCF of 418,690 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 229,4130
Given numbers has no common factors except 1. So, there LCM is their product i.e 945770
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 229,4130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,4130) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,4130) x common factors =1 x 1 = 1
LCM(229,4130) = ( 229 × 4130 ) / 1
LCM(229,4130) = 945770 / 1
LCM(229,4130) = 945770
Lets's calculate GCF of 418,690
2 | 418, 690 |
209, 345 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945770/2
Therefore the LCM of Fractions 229/418,4130/690 is 472885
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 418,690 . The biggest common factor number is the GCF number.
So the greatest common factor 418,690 is 2.
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 229/418, 4130/690?
Answer: LCM of Numerators as per given numbers 229/418, 4130/690 is
LCM of Numerators i.e. for 229,4130 is 945770
GCF of denominators i.e. for 418,690 is 2.
Thus, LCM of Fractions is 472885.Finally, LCM of Fractions for 229/418, 4130/690 is 472885.