Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/560, 463/321, 806/832 quickly i.e. 3358602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/560, 463/321, 806/832 is 3358602.
LCM(18/560, 463/321, 806/832) = 3358602
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/560,463/321,806/832
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 18,463,806
Least Common Multiple of Numerators i.e. LCM of 18,463,806 is 3358602.
GCF of Denominators means GCF of 560,321,832 as per the given fractions.
GCF of 560,321,832 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,463,806
2 | 18, 463, 806 |
9, 463, 403 |
∴ So the LCM of the given numbers is 2 x 9 x 463 x 403 = 3358602
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 18,463,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,463,806) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,463,806) x common factors =1 x 2 = 2
LCM(18,463,806) = ( 18 × 463 × 806 ) / 2
LCM(18,463,806) = 6717204 / 2
LCM(18,463,806) = 3358602
Lets's calculate GCF of 560,321,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3358602/1
Therefore the LCM of Fractions 18/560,463/321,806/832 is 3358602
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 560,321,832 . The biggest common factor number is the GCF number.
So the greatest common factor 560,321,832 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 18/560, 463/321, 806/832?
Answer: LCM of Numerators as per given numbers 18/560, 463/321, 806/832 is
LCM of Numerators i.e. for 18,463,806 is 3358602
GCF of denominators i.e. for 560,321,832 is 1.
Thus, LCM of Fractions is 3358602.Finally, LCM of Fractions for 18/560, 463/321, 806/832 is 3358602.