Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/845, 46/231, 384/912 quickly i.e. 114816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/845, 46/231, 384/912 is 114816.
LCM(39/845, 46/231, 384/912) = 114816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/845,46/231,384/912
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 39,46,384
Least Common Multiple of Numerators i.e. LCM of 39,46,384 is 114816.
GCF of Denominators means GCF of 845,231,912 as per the given fractions.
GCF of 845,231,912 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,46,384
2 | 39, 46, 384 |
3 | 39, 23, 192 |
13, 23, 64 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 23 x 64 = 114816
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 39,46,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,46,384) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(39,46,384) x common factors =1 x 6 = 6
LCM(39,46,384) = ( 39 × 46 × 384 ) / 6
LCM(39,46,384) = 688896 / 6
LCM(39,46,384) = 114816
Lets's calculate GCF of 845,231,912
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114816/1
Therefore the LCM of Fractions 39/845,46/231,384/912 is 114816
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 845,231,912 . The biggest common factor number is the GCF number.
So the greatest common factor 845,231,912 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 39/845, 46/231, 384/912?
Answer: LCM of Numerators as per given numbers 39/845, 46/231, 384/912 is
LCM of Numerators i.e. for 39,46,384 is 114816
GCF of denominators i.e. for 845,231,912 is 1.
Thus, LCM of Fractions is 114816.Finally, LCM of Fractions for 39/845, 46/231, 384/912 is 114816.