Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/180, 379/331, 332/406 quickly i.e. 1384108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/180, 379/331, 332/406 is 1384108.
LCM(11/180, 379/331, 332/406) = 1384108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/180,379/331,332/406
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 11,379,332
Least Common Multiple of Numerators i.e. LCM of 11,379,332 is 1384108.
GCF of Denominators means GCF of 180,331,406 as per the given fractions.
GCF of 180,331,406 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,379,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 1384108
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 11,379,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,379,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,379,332) x common factors =1 x 1 = 1
LCM(11,379,332) = ( 11 × 379 × 332 ) / 1
LCM(11,379,332) = 1384108 / 1
LCM(11,379,332) = 1384108
Lets's calculate GCF of 180,331,406
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1384108/1
Therefore the LCM of Fractions 11/180,379/331,332/406 is 1384108
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 180,331,406 . The biggest common factor number is the GCF number.
So the greatest common factor 180,331,406 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 11/180, 379/331, 332/406?
Answer: LCM of Numerators as per given numbers 11/180, 379/331, 332/406 is
LCM of Numerators i.e. for 11,379,332 is 1384108
GCF of denominators i.e. for 180,331,406 is 1.
Thus, LCM of Fractions is 1384108.Finally, LCM of Fractions for 11/180, 379/331, 332/406 is 1384108.