Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 581/54, 786/9933 quickly i.e. 152222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 581/54, 786/9933 is 152222.
LCM(581/54, 786/9933) = 152222
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 581/54,786/9933
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 581,786
Least Common Multiple of Numerators i.e. LCM of 581,786 is 456666.
GCF of Denominators means GCF of 54,9933 as per the given fractions.
GCF of 54,9933 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 581,786
Given numbers has no common factors except 1. So, there LCM is their product i.e 456666
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 581,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,786) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,786) x common factors =1 x 1 = 1
LCM(581,786) = ( 581 × 786 ) / 1
LCM(581,786) = 456666 / 1
LCM(581,786) = 456666
Lets's calculate GCF of 54,9933
3 | 54, 9933 |
18, 3311 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456666/3
Therefore the LCM of Fractions 581/54,786/9933 is 152222
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 9933
List of positive integer factors of 9933 that divides 9933 without a remainder.
1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933
Greatest Common Factor
We found the factors 54,9933 . The biggest common factor number is the GCF number.
So the greatest common factor 54,9933 is 3.
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 581/54, 786/9933?
Answer: LCM of Numerators as per given numbers 581/54, 786/9933 is
LCM of Numerators i.e. for 581,786 is 456666
GCF of denominators i.e. for 54,9933 is 3.
Thus, LCM of Fractions is 152222.Finally, LCM of Fractions for 581/54, 786/9933 is 152222.