Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/36, 394/30, 163/536 quickly i.e. 1316551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/36, 394/30, 163/536 is 1316551.
LCM(41/36, 394/30, 163/536) = 1316551
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/36,394/30,163/536
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 41,394,163
Least Common Multiple of Numerators i.e. LCM of 41,394,163 is 2633102.
GCF of Denominators means GCF of 36,30,536 as per the given fractions.
GCF of 36,30,536 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,394,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 2633102
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 41,394,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,394,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,394,163) x common factors =1 x 1 = 1
LCM(41,394,163) = ( 41 × 394 × 163 ) / 1
LCM(41,394,163) = 2633102 / 1
LCM(41,394,163) = 2633102
Lets's calculate GCF of 36,30,536
2 | 36, 30, 536 |
18, 15, 268 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2633102/2
Therefore the LCM of Fractions 41/36,394/30,163/536 is 1316551
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 36,30,536 . The biggest common factor number is the GCF number.
So the greatest common factor 36,30,536 is 2.
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 41/36, 394/30, 163/536?
Answer: LCM of Numerators as per given numbers 41/36, 394/30, 163/536 is
LCM of Numerators i.e. for 41,394,163 is 2633102
GCF of denominators i.e. for 36,30,536 is 2.
Thus, LCM of Fractions is 1316551.Finally, LCM of Fractions for 41/36, 394/30, 163/536 is 1316551.