Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/940, 4636/8166 quickly i.e. 20862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/940, 4636/8166 is 20862.
LCM(36/940, 4636/8166) = 20862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/940,4636/8166
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 36,4636
Least Common Multiple of Numerators i.e. LCM of 36,4636 is 41724.
GCF of Denominators means GCF of 940,8166 as per the given fractions.
GCF of 940,8166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,4636
2 | 36, 4636 |
2 | 18, 2318 |
9, 1159 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 1159 = 41724
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 36,4636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,4636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(36,4636) x common factors =4 x 1 = 4
LCM(36,4636) = ( 36 × 4636 ) / 4
LCM(36,4636) = 166896 / 4
LCM(36,4636) = 41724
Lets's calculate GCF of 940,8166
2 | 940, 8166 |
470, 4083 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41724/2
Therefore the LCM of Fractions 36/940,4636/8166 is 20862
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 8166
List of positive integer factors of 8166 that divides 8166 without a remainder.
1,2,3,6,1361,2722,4083,8166
Greatest Common Factor
We found the factors 940,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 940,8166 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 36/940, 4636/8166?
Answer: LCM of Numerators as per given numbers 36/940, 4636/8166 is
LCM of Numerators i.e. for 36,4636 is 41724
GCF of denominators i.e. for 940,8166 is 2.
Thus, LCM of Fractions is 20862.Finally, LCM of Fractions for 36/940, 4636/8166 is 20862.