Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/182, 8018/3636 quickly i.e. 108243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/182, 8018/3636 is 108243.
LCM(54/182, 8018/3636) = 108243
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/182,8018/3636
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 54,8018
Least Common Multiple of Numerators i.e. LCM of 54,8018 is 216486.
GCF of Denominators means GCF of 182,3636 as per the given fractions.
GCF of 182,3636 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,8018
2 | 54, 8018 |
27, 4009 |
∴ So the LCM of the given numbers is 2 x 27 x 4009 = 216486
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 54,8018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,8018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,8018) x common factors =2 x 1 = 2
LCM(54,8018) = ( 54 × 8018 ) / 2
LCM(54,8018) = 432972 / 2
LCM(54,8018) = 216486
Lets's calculate GCF of 182,3636
2 | 182, 3636 |
91, 1818 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216486/2
Therefore the LCM of Fractions 54/182,8018/3636 is 108243
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 3636
List of positive integer factors of 3636 that divides 3636 without a remainder.
1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636
Greatest Common Factor
We found the factors 182,3636 . The biggest common factor number is the GCF number.
So the greatest common factor 182,3636 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 54/182, 8018/3636?
Answer: LCM of Numerators as per given numbers 54/182, 8018/3636 is
LCM of Numerators i.e. for 54,8018 is 216486
GCF of denominators i.e. for 182,3636 is 2.
Thus, LCM of Fractions is 108243.Finally, LCM of Fractions for 54/182, 8018/3636 is 108243.