Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 387/976, 834/204, 928/808 quickly i.e. 12479976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 387/976, 834/204, 928/808 is 12479976.
LCM(387/976, 834/204, 928/808) = 12479976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 387/976,834/204,928/808
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 387,834,928
Least Common Multiple of Numerators i.e. LCM of 387,834,928 is 49919904.
GCF of Denominators means GCF of 976,204,808 as per the given fractions.
GCF of 976,204,808 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 387,834,928
2 | 387, 834, 928 |
3 | 387, 417, 464 |
129, 139, 464 |
∴ So the LCM of the given numbers is 2 x 3 x 129 x 139 x 464 = 49919904
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 387,834,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,834,928) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(387,834,928) x common factors =1 x 6 = 6
LCM(387,834,928) = ( 387 × 834 × 928 ) / 6
LCM(387,834,928) = 299519424 / 6
LCM(387,834,928) = 49919904
Lets's calculate GCF of 976,204,808
2 | 976, 204, 808 |
2 | 488, 102, 404 |
244, 51, 202 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49919904/4
Therefore the LCM of Fractions 387/976,834/204,928/808 is 12479976
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
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 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 976,204,808 . The biggest common factor number is the GCF number.
So the greatest common factor 976,204,808 is 4.
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 387/976, 834/204, 928/808?
Answer: LCM of Numerators as per given numbers 387/976, 834/204, 928/808 is
LCM of Numerators i.e. for 387,834,928 is 49919904
GCF of denominators i.e. for 976,204,808 is 4.
Thus, LCM of Fractions is 12479976.Finally, LCM of Fractions for 387/976, 834/204, 928/808 is 12479976.