Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 909/404, 428/300, 732/592 quickly i.e. 5933043 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 909/404, 428/300, 732/592 is 5933043.
LCM(909/404, 428/300, 732/592) = 5933043
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 909/404,428/300,732/592
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 909,428,732
Least Common Multiple of Numerators i.e. LCM of 909,428,732 is 23732172.
GCF of Denominators means GCF of 404,300,592 as per the given fractions.
GCF of 404,300,592 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 909,428,732
2 | 909, 428, 732 |
2 | 909, 214, 366 |
3 | 909, 107, 183 |
303, 107, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 303 x 107 x 61 = 23732172
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 909,428,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,428,732) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(909,428,732) x common factors =1 x 12 = 12
LCM(909,428,732) = ( 909 × 428 × 732 ) / 12
LCM(909,428,732) = 284786064 / 12
LCM(909,428,732) = 23732172
Lets's calculate GCF of 404,300,592
2 | 404, 300, 592 |
2 | 202, 150, 296 |
101, 75, 148 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23732172/4
Therefore the LCM of Fractions 909/404,428/300,732/592 is 5933043
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 404,300,592 . The biggest common factor number is the GCF number.
So the greatest common factor 404,300,592 is 4.
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 909/404, 428/300, 732/592?
Answer: LCM of Numerators as per given numbers 909/404, 428/300, 732/592 is
LCM of Numerators i.e. for 909,428,732 is 23732172
GCF of denominators i.e. for 404,300,592 is 4.
Thus, LCM of Fractions is 5933043.Finally, LCM of Fractions for 909/404, 428/300, 732/592 is 5933043.