Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/31, 387/30, 307/408 quickly i.e. 3801888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/31, 387/30, 307/408 is 3801888.
LCM(96/31, 387/30, 307/408) = 3801888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/31,387/30,307/408
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 96,387,307
Least Common Multiple of Numerators i.e. LCM of 96,387,307 is 3801888.
GCF of Denominators means GCF of 31,30,408 as per the given fractions.
GCF of 31,30,408 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,387,307
3 | 96, 387, 307 |
32, 129, 307 |
∴ So the LCM of the given numbers is 3 x 32 x 129 x 307 = 3801888
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 96,387,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,387,307) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(96,387,307) x common factors =1 x 3 = 3
LCM(96,387,307) = ( 96 × 387 × 307 ) / 3
LCM(96,387,307) = 11405664 / 3
LCM(96,387,307) = 3801888
Lets's calculate GCF of 31,30,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3801888/1
Therefore the LCM of Fractions 96/31,387/30,307/408 is 3801888
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 31,30,408 . The biggest common factor number is the GCF number.
So the greatest common factor 31,30,408 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 96/31, 387/30, 307/408?
Answer: LCM of Numerators as per given numbers 96/31, 387/30, 307/408 is
LCM of Numerators i.e. for 96,387,307 is 3801888
GCF of denominators i.e. for 31,30,408 is 1.
Thus, LCM of Fractions is 3801888.Finally, LCM of Fractions for 96/31, 387/30, 307/408 is 3801888.