Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 116/438, 311/469 quickly i.e. 36076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 116/438, 311/469 is 36076.
LCM(116/438, 311/469) = 36076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 116/438,311/469
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 116,311
Least Common Multiple of Numerators i.e. LCM of 116,311 is 36076.
GCF of Denominators means GCF of 438,469 as per the given fractions.
GCF of 438,469 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 116,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 36076
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 116,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,311) x common factors =1 x 1 = 1
LCM(116,311) = ( 116 × 311 ) / 1
LCM(116,311) = 36076 / 1
LCM(116,311) = 36076
Lets's calculate GCF of 438,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36076/1
Therefore the LCM of Fractions 116/438,311/469 is 36076
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 438,469 . The biggest common factor number is the GCF number.
So the greatest common factor 438,469 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 116/438, 311/469?
Answer: LCM of Numerators as per given numbers 116/438, 311/469 is
LCM of Numerators i.e. for 116,311 is 36076
GCF of denominators i.e. for 438,469 is 1.
Thus, LCM of Fractions is 36076.Finally, LCM of Fractions for 116/438, 311/469 is 36076.