Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/24, 14/34, 81/33, 17/999 quickly i.e. 96390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/24, 14/34, 81/33, 17/999 is 96390.
LCM(85/24, 14/34, 81/33, 17/999) = 96390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/24,14/34,81/33,17/999
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 85,14,81,17
Least Common Multiple of Numerators i.e. LCM of 85,14,81,17 is 96390.
GCF of Denominators means GCF of 24,34,33,999 as per the given fractions.
GCF of 24,34,33,999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,14,81,17
17 | 85, 14, 81, 17 |
5, 14, 81, 1 |
∴ So the LCM of the given numbers is 17 x 5 x 14 x 81 x 1 = 96390
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 85,14,81,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,14,81,17) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(85,14,81,17) x common factors =1 x 17 = 17
LCM(85,14,81,17) = ( 85 × 14 × 81 × 17 ) / 17
LCM(85,14,81,17) = 1638630 / 17
LCM(85,14,81,17) = 96390
Lets's calculate GCF of 24,34,33,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96390/1
Therefore the LCM of Fractions 85/24,14/34,81/33,17/999 is 96390
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 24,34,33,999 . The biggest common factor number is the GCF number.
So the greatest common factor 24,34,33,999 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 85/24, 14/34, 81/33, 17/999?
Answer: LCM of Numerators as per given numbers 85/24, 14/34, 81/33, 17/999 is
LCM of Numerators i.e. for 85,14,81,17 is 96390
GCF of denominators i.e. for 24,34,33,999 is 1.
Thus, LCM of Fractions is 96390.Finally, LCM of Fractions for 85/24, 14/34, 81/33, 17/999 is 96390.