Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 909/432, 5946/1566 quickly i.e. 1801638/54 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 909/432, 5946/1566 is 1801638/54.
LCM(909/432, 5946/1566) = 1801638/54
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 909/432,5946/1566
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 909,5946
Least Common Multiple of Numerators i.e. LCM of 909,5946 is 1801638.
GCF of Denominators means GCF of 432,1566 as per the given fractions.
GCF of 432,1566 is 54 as it is the largest common factor for these numbers.
Lets's calculate LCM of 909,5946
3 | 909, 5946 |
303, 1982 |
∴ So the LCM of the given numbers is 3 x 303 x 1982 = 1801638
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 909,5946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,5946) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(909,5946) x common factors =3 x 1 = 3
LCM(909,5946) = ( 909 × 5946 ) / 3
LCM(909,5946) = 5404914 / 3
LCM(909,5946) = 1801638
Lets's calculate GCF of 432,1566
2 | 432, 1566 |
3 | 216, 783 |
3 | 72, 261 |
3 | 24, 87 |
8, 29 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1801638/54
Therefore the LCM of Fractions 909/432,5946/1566 is 1801638/54
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 1566
List of positive integer factors of 1566 that divides 1566 without a remainder.
1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566
Greatest Common Factor
We found the factors 432,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 432,1566 is 54.
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 909/432, 5946/1566?
Answer: LCM of Numerators as per given numbers 909/432, 5946/1566 is
LCM of Numerators i.e. for 909,5946 is 1801638
GCF of denominators i.e. for 432,1566 is 54.
Thus, LCM of Fractions is 1801638/54.Finally, LCM of Fractions for 909/432, 5946/1566 is 1801638/54.