Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 165/33, 254/44, 923/915 quickly i.e. 38682930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 165/33, 254/44, 923/915 is 38682930.
LCM(165/33, 254/44, 923/915) = 38682930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 165/33,254/44,923/915
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 165,254,923
Least Common Multiple of Numerators i.e. LCM of 165,254,923 is 38682930.
GCF of Denominators means GCF of 33,44,915 as per the given fractions.
GCF of 33,44,915 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 165,254,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 38682930
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 165,254,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,254,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,254,923) x common factors =1 x 1 = 1
LCM(165,254,923) = ( 165 × 254 × 923 ) / 1
LCM(165,254,923) = 38682930 / 1
LCM(165,254,923) = 38682930
Lets's calculate GCF of 33,44,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38682930/1
Therefore the LCM of Fractions 165/33,254/44,923/915 is 38682930
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 33,44,915 . The biggest common factor number is the GCF number.
So the greatest common factor 33,44,915 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 165/33, 254/44, 923/915?
Answer: LCM of Numerators as per given numbers 165/33, 254/44, 923/915 is
LCM of Numerators i.e. for 165,254,923 is 38682930
GCF of denominators i.e. for 33,44,915 is 1.
Thus, LCM of Fractions is 38682930.Finally, LCM of Fractions for 165/33, 254/44, 923/915 is 38682930.