Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 622/99, 464/51, 777/243 quickly i.e. 37374736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 622/99, 464/51, 777/243 is 37374736.
LCM(622/99, 464/51, 777/243) = 37374736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 622/99,464/51,777/243
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 622,464,777
Least Common Multiple of Numerators i.e. LCM of 622,464,777 is 112124208.
GCF of Denominators means GCF of 99,51,243 as per the given fractions.
GCF of 99,51,243 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 622,464,777
2 | 622, 464, 777 |
311, 232, 777 |
∴ So the LCM of the given numbers is 2 x 311 x 232 x 777 = 112124208
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 622,464,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,464,777) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(622,464,777) x common factors =1 x 2 = 2
LCM(622,464,777) = ( 622 × 464 × 777 ) / 2
LCM(622,464,777) = 224248416 / 2
LCM(622,464,777) = 112124208
Lets's calculate GCF of 99,51,243
3 | 99, 51, 243 |
33, 17, 81 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112124208/3
Therefore the LCM of Fractions 622/99,464/51,777/243 is 37374736
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 99,51,243 . The biggest common factor number is the GCF number.
So the greatest common factor 99,51,243 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 622/99, 464/51, 777/243?
Answer: LCM of Numerators as per given numbers 622/99, 464/51, 777/243 is
LCM of Numerators i.e. for 622,464,777 is 112124208
GCF of denominators i.e. for 99,51,243 is 3.
Thus, LCM of Fractions is 37374736.Finally, LCM of Fractions for 622/99, 464/51, 777/243 is 37374736.