Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/460, 529/861, 522/663 quickly i.e. 3037518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/460, 529/861, 522/663 is 3037518.
LCM(11/460, 529/861, 522/663) = 3037518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/460,529/861,522/663
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 11,529,522
Least Common Multiple of Numerators i.e. LCM of 11,529,522 is 3037518.
GCF of Denominators means GCF of 460,861,663 as per the given fractions.
GCF of 460,861,663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,529,522
Given numbers has no common factors except 1. So, there LCM is their product i.e 3037518
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 11,529,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,529,522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,529,522) x common factors =1 x 1 = 1
LCM(11,529,522) = ( 11 × 529 × 522 ) / 1
LCM(11,529,522) = 3037518 / 1
LCM(11,529,522) = 3037518
Lets's calculate GCF of 460,861,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3037518/1
Therefore the LCM of Fractions 11/460,529/861,522/663 is 3037518
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 460,861,663 . The biggest common factor number is the GCF number.
So the greatest common factor 460,861,663 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 11/460, 529/861, 522/663?
Answer: LCM of Numerators as per given numbers 11/460, 529/861, 522/663 is
LCM of Numerators i.e. for 11,529,522 is 3037518
GCF of denominators i.e. for 460,861,663 is 1.
Thus, LCM of Fractions is 3037518.Finally, LCM of Fractions for 11/460, 529/861, 522/663 is 3037518.