Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 165/18, 757/37, 831/386 quickly i.e. 34598685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 165/18, 757/37, 831/386 is 34598685.
LCM(165/18, 757/37, 831/386) = 34598685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 165/18,757/37,831/386
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 165,757,831
Least Common Multiple of Numerators i.e. LCM of 165,757,831 is 34598685.
GCF of Denominators means GCF of 18,37,386 as per the given fractions.
GCF of 18,37,386 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 165,757,831
3 | 165, 757, 831 |
55, 757, 277 |
∴ So the LCM of the given numbers is 3 x 55 x 757 x 277 = 34598685
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 165,757,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,757,831) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(165,757,831) x common factors =1 x 3 = 3
LCM(165,757,831) = ( 165 × 757 × 831 ) / 3
LCM(165,757,831) = 103796055 / 3
LCM(165,757,831) = 34598685
Lets's calculate GCF of 18,37,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34598685/1
Therefore the LCM of Fractions 165/18,757/37,831/386 is 34598685
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 18,37,386 . The biggest common factor number is the GCF number.
So the greatest common factor 18,37,386 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 165/18, 757/37, 831/386?
Answer: LCM of Numerators as per given numbers 165/18, 757/37, 831/386 is
LCM of Numerators i.e. for 165,757,831 is 34598685
GCF of denominators i.e. for 18,37,386 is 1.
Thus, LCM of Fractions is 34598685.Finally, LCM of Fractions for 165/18, 757/37, 831/386 is 34598685.