Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 809/392, 388/876, 904/627 quickly i.e. 70939592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 809/392, 388/876, 904/627 is 70939592.
LCM(809/392, 388/876, 904/627) = 70939592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 809/392,388/876,904/627
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 809,388,904
Least Common Multiple of Numerators i.e. LCM of 809,388,904 is 70939592.
GCF of Denominators means GCF of 392,876,627 as per the given fractions.
GCF of 392,876,627 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 809,388,904
2 | 809, 388, 904 |
2 | 809, 194, 452 |
809, 97, 226 |
∴ So the LCM of the given numbers is 2 x 2 x 809 x 97 x 226 = 70939592
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 809,388,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,388,904) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(809,388,904) x common factors =1 x 4 = 4
LCM(809,388,904) = ( 809 × 388 × 904 ) / 4
LCM(809,388,904) = 283758368 / 4
LCM(809,388,904) = 70939592
Lets's calculate GCF of 392,876,627
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70939592/1
Therefore the LCM of Fractions 809/392,388/876,904/627 is 70939592
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 392,876,627 . The biggest common factor number is the GCF number.
So the greatest common factor 392,876,627 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 809/392, 388/876, 904/627?
Answer: LCM of Numerators as per given numbers 809/392, 388/876, 904/627 is
LCM of Numerators i.e. for 809,388,904 is 70939592
GCF of denominators i.e. for 392,876,627 is 1.
Thus, LCM of Fractions is 70939592.Finally, LCM of Fractions for 809/392, 388/876, 904/627 is 70939592.