Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/84, 15/16, 33/820 quickly i.e. 2640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/84, 15/16, 33/820 is 2640.
LCM(64/84, 15/16, 33/820) = 2640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/84,15/16,33/820
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 64,15,33
Least Common Multiple of Numerators i.e. LCM of 64,15,33 is 10560.
GCF of Denominators means GCF of 84,16,820 as per the given fractions.
GCF of 84,16,820 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,15,33
3 | 64, 15, 33 |
64, 5, 11 |
∴ So the LCM of the given numbers is 3 x 64 x 5 x 11 = 10560
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 64,15,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,15,33) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(64,15,33) x common factors =1 x 3 = 3
LCM(64,15,33) = ( 64 × 15 × 33 ) / 3
LCM(64,15,33) = 31680 / 3
LCM(64,15,33) = 10560
Lets's calculate GCF of 84,16,820
2 | 84, 16, 820 |
2 | 42, 8, 410 |
21, 4, 205 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10560/4
Therefore the LCM of Fractions 64/84,15/16,33/820 is 2640
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 84,16,820 . The biggest common factor number is the GCF number.
So the greatest common factor 84,16,820 is 4.
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 64/84, 15/16, 33/820?
Answer: LCM of Numerators as per given numbers 64/84, 15/16, 33/820 is
LCM of Numerators i.e. for 64,15,33 is 10560
GCF of denominators i.e. for 84,16,820 is 4.
Thus, LCM of Fractions is 2640.Finally, LCM of Fractions for 64/84, 15/16, 33/820 is 2640.