Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/33, 15/83, 39/42, 59/899 quickly i.e. 80535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/33, 15/83, 39/42, 59/899 is 80535.
LCM(91/33, 15/83, 39/42, 59/899) = 80535
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/33,15/83,39/42,59/899
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 91,15,39,59
Least Common Multiple of Numerators i.e. LCM of 91,15,39,59 is 80535.
GCF of Denominators means GCF of 33,83,42,899 as per the given fractions.
GCF of 33,83,42,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,15,39,59
3 | 91, 15, 39, 59 |
13 | 91, 5, 13, 59 |
7, 5, 1, 59 |
∴ So the LCM of the given numbers is 3 x 13 x 7 x 5 x 1 x 59 = 80535
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 91,15,39,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,15,39,59) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(91,15,39,59) x common factors =1 x 39 = 39
LCM(91,15,39,59) = ( 91 × 15 × 39 × 59 ) / 39
LCM(91,15,39,59) = 3140865 / 39
LCM(91,15,39,59) = 80535
Lets's calculate GCF of 33,83,42,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80535/1
Therefore the LCM of Fractions 91/33,15/83,39/42,59/899 is 80535
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 33,83,42,899 . The biggest common factor number is the GCF number.
So the greatest common factor 33,83,42,899 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 91/33, 15/83, 39/42, 59/899?
Answer: LCM of Numerators as per given numbers 91/33, 15/83, 39/42, 59/899 is
LCM of Numerators i.e. for 91,15,39,59 is 80535
GCF of denominators i.e. for 33,83,42,899 is 1.
Thus, LCM of Fractions is 80535.Finally, LCM of Fractions for 91/33, 15/83, 39/42, 59/899 is 80535.