Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/226, 665/853, 103/821 quickly i.e. 2328830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/226, 665/853, 103/821 is 2328830.
LCM(34/226, 665/853, 103/821) = 2328830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/226,665/853,103/821
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 34,665,103
Least Common Multiple of Numerators i.e. LCM of 34,665,103 is 2328830.
GCF of Denominators means GCF of 226,853,821 as per the given fractions.
GCF of 226,853,821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,665,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 2328830
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 34,665,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,665,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,665,103) x common factors =1 x 1 = 1
LCM(34,665,103) = ( 34 × 665 × 103 ) / 1
LCM(34,665,103) = 2328830 / 1
LCM(34,665,103) = 2328830
Lets's calculate GCF of 226,853,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2328830/1
Therefore the LCM of Fractions 34/226,665/853,103/821 is 2328830
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Greatest Common Factor
We found the factors 226,853,821 . The biggest common factor number is the GCF number.
So the greatest common factor 226,853,821 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 34/226, 665/853, 103/821?
Answer: LCM of Numerators as per given numbers 34/226, 665/853, 103/821 is
LCM of Numerators i.e. for 34,665,103 is 2328830
GCF of denominators i.e. for 226,853,821 is 1.
Thus, LCM of Fractions is 2328830.Finally, LCM of Fractions for 34/226, 665/853, 103/821 is 2328830.