Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 830/204, 1229/5058 quickly i.e. 1020070/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 830/204, 1229/5058 is 1020070/6.
LCM(830/204, 1229/5058) = 1020070/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 830/204,1229/5058
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 830,1229
Least Common Multiple of Numerators i.e. LCM of 830,1229 is 1020070.
GCF of Denominators means GCF of 204,5058 as per the given fractions.
GCF of 204,5058 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 830,1229
Given numbers has no common factors except 1. So, there LCM is their product i.e 1020070
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 830,1229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,1229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(830,1229) x common factors =1 x 1 = 1
LCM(830,1229) = ( 830 × 1229 ) / 1
LCM(830,1229) = 1020070 / 1
LCM(830,1229) = 1020070
Lets's calculate GCF of 204,5058
2 | 204, 5058 |
3 | 102, 2529 |
34, 843 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1020070/6
Therefore the LCM of Fractions 830/204,1229/5058 is 1020070/6
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 5058
List of positive integer factors of 5058 that divides 5058 without a remainder.
1,2,3,6,9,18,281,562,843,1686,2529,5058
Greatest Common Factor
We found the factors 204,5058 . The biggest common factor number is the GCF number.
So the greatest common factor 204,5058 is 6.
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 830/204, 1229/5058?
Answer: LCM of Numerators as per given numbers 830/204, 1229/5058 is
LCM of Numerators i.e. for 830,1229 is 1020070
GCF of denominators i.e. for 204,5058 is 6.
Thus, LCM of Fractions is 1020070/6.Finally, LCM of Fractions for 830/204, 1229/5058 is 1020070/6.