Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/505, 68/981, 289/733 quickly i.e. 10404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/505, 68/981, 289/733 is 10404.
LCM(36/505, 68/981, 289/733) = 10404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/505,68/981,289/733
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 36,68,289
Least Common Multiple of Numerators i.e. LCM of 36,68,289 is 10404.
GCF of Denominators means GCF of 505,981,733 as per the given fractions.
GCF of 505,981,733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,68,289
2 | 36, 68, 289 |
2 | 18, 34, 289 |
17 | 9, 17, 289 |
9, 1, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 9 x 1 x 17 = 10404
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 36,68,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,68,289) = 1
common factors(in case of two or more numbers have common factors) = 68
GCF(36,68,289) x common factors =1 x 68 = 68
LCM(36,68,289) = ( 36 × 68 × 289 ) / 68
LCM(36,68,289) = 707472 / 68
LCM(36,68,289) = 10404
Lets's calculate GCF of 505,981,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10404/1
Therefore the LCM of Fractions 36/505,68/981,289/733 is 10404
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 505,981,733 . The biggest common factor number is the GCF number.
So the greatest common factor 505,981,733 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 36/505, 68/981, 289/733?
Answer: LCM of Numerators as per given numbers 36/505, 68/981, 289/733 is
LCM of Numerators i.e. for 36,68,289 is 10404
GCF of denominators i.e. for 505,981,733 is 1.
Thus, LCM of Fractions is 10404.Finally, LCM of Fractions for 36/505, 68/981, 289/733 is 10404.