Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/64, 32/40, 43/43, 803/66 quickly i.e. 9944352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/64, 32/40, 43/43, 803/66 is 9944352.
LCM(36/64, 32/40, 43/43, 803/66) = 9944352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/64,32/40,43/43,803/66
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 36,32,43,803
Least Common Multiple of Numerators i.e. LCM of 36,32,43,803 is 9944352.
GCF of Denominators means GCF of 64,40,43,66 as per the given fractions.
GCF of 64,40,43,66 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,32,43,803
2 | 36, 32, 43, 803 |
2 | 18, 16, 43, 803 |
9, 8, 43, 803 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 8 x 43 x 803 = 9944352
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 36,32,43,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,32,43,803) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(36,32,43,803) x common factors =1 x 4 = 4
LCM(36,32,43,803) = ( 36 × 32 × 43 × 803 ) / 4
LCM(36,32,43,803) = 39777408 / 4
LCM(36,32,43,803) = 9944352
Lets's calculate GCF of 64,40,43,66
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9944352/1
Therefore the LCM of Fractions 36/64,32/40,43/43,803/66 is 9944352
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Greatest Common Factor
We found the factors 64,40,43,66 . The biggest common factor number is the GCF number.
So the greatest common factor 64,40,43,66 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 36/64, 32/40, 43/43, 803/66?
Answer: LCM of Numerators as per given numbers 36/64, 32/40, 43/43, 803/66 is
LCM of Numerators i.e. for 36,32,43,803 is 9944352
GCF of denominators i.e. for 64,40,43,66 is 1.
Thus, LCM of Fractions is 9944352.Finally, LCM of Fractions for 36/64, 32/40, 43/43, 803/66 is 9944352.