Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/38, 44/96, 31/33, 37/495 quickly i.e. 1463572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/38, 44/96, 31/33, 37/495 is 1463572.
LCM(29/38, 44/96, 31/33, 37/495) = 1463572
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/38,44/96,31/33,37/495
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 29,44,31,37
Least Common Multiple of Numerators i.e. LCM of 29,44,31,37 is 1463572.
GCF of Denominators means GCF of 38,96,33,495 as per the given fractions.
GCF of 38,96,33,495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,44,31,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 1463572
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 29,44,31,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,44,31,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,44,31,37) x common factors =1 x 1 = 1
LCM(29,44,31,37) = ( 29 × 44 × 31 × 37 ) / 1
LCM(29,44,31,37) = 1463572 / 1
LCM(29,44,31,37) = 1463572
Lets's calculate GCF of 38,96,33,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1463572/1
Therefore the LCM of Fractions 29/38,44/96,31/33,37/495 is 1463572
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 38,96,33,495 . The biggest common factor number is the GCF number.
So the greatest common factor 38,96,33,495 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 29/38, 44/96, 31/33, 37/495?
Answer: LCM of Numerators as per given numbers 29/38, 44/96, 31/33, 37/495 is
LCM of Numerators i.e. for 29,44,31,37 is 1463572
GCF of denominators i.e. for 38,96,33,495 is 1.
Thus, LCM of Fractions is 1463572.Finally, LCM of Fractions for 29/38, 44/96, 31/33, 37/495 is 1463572.