Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/89, 9/64, 91/31, 69/536 quickly i.e. 18837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/89, 9/64, 91/31, 69/536 is 18837.
LCM(9/89, 9/64, 91/31, 69/536) = 18837
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/89,9/64,91/31,69/536
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 9,9,91,69
Least Common Multiple of Numerators i.e. LCM of 9,9,91,69 is 18837.
GCF of Denominators means GCF of 89,64,31,536 as per the given fractions.
GCF of 89,64,31,536 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,9,91,69
3 | 9, 9, 91, 69 |
3 | 3, 3, 91, 23 |
1, 1, 91, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 1 x 1 x 91 x 23 = 18837
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 9,9,91,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,9,91,69) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(9,9,91,69) x common factors =1 x 27 = 27
LCM(9,9,91,69) = ( 9 × 9 × 91 × 69 ) / 27
LCM(9,9,91,69) = 508599 / 27
LCM(9,9,91,69) = 18837
Lets's calculate GCF of 89,64,31,536
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18837/1
Therefore the LCM of Fractions 9/89,9/64,91/31,69/536 is 18837
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 89,64,31,536 . The biggest common factor number is the GCF number.
So the greatest common factor 89,64,31,536 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 9/89, 9/64, 91/31, 69/536?
Answer: LCM of Numerators as per given numbers 9/89, 9/64, 91/31, 69/536 is
LCM of Numerators i.e. for 9,9,91,69 is 18837
GCF of denominators i.e. for 89,64,31,536 is 1.
Thus, LCM of Fractions is 18837.Finally, LCM of Fractions for 9/89, 9/64, 91/31, 69/536 is 18837.