Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 104/203, 897/415, 821/853 quickly i.e. 5891496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 104/203, 897/415, 821/853 is 5891496.
LCM(104/203, 897/415, 821/853) = 5891496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 104/203,897/415,821/853
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 104,897,821
Least Common Multiple of Numerators i.e. LCM of 104,897,821 is 5891496.
GCF of Denominators means GCF of 203,415,853 as per the given fractions.
GCF of 203,415,853 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 104,897,821
13 | 104, 897, 821 |
8, 69, 821 |
∴ So the LCM of the given numbers is 13 x 8 x 69 x 821 = 5891496
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 104,897,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,897,821) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(104,897,821) x common factors =1 x 13 = 13
LCM(104,897,821) = ( 104 × 897 × 821 ) / 13
LCM(104,897,821) = 76589448 / 13
LCM(104,897,821) = 5891496
Lets's calculate GCF of 203,415,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5891496/1
Therefore the LCM of Fractions 104/203,897/415,821/853 is 5891496
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Greatest Common Factor
We found the factors 203,415,853 . The biggest common factor number is the GCF number.
So the greatest common factor 203,415,853 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 104/203, 897/415, 821/853?
Answer: LCM of Numerators as per given numbers 104/203, 897/415, 821/853 is
LCM of Numerators i.e. for 104,897,821 is 5891496
GCF of denominators i.e. for 203,415,853 is 1.
Thus, LCM of Fractions is 5891496.Finally, LCM of Fractions for 104/203, 897/415, 821/853 is 5891496.