Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/59, 96/99, 35/59, 15/805 quickly i.e. 6720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/59, 96/99, 35/59, 15/805 is 6720.
LCM(64/59, 96/99, 35/59, 15/805) = 6720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/59,96/99,35/59,15/805
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 64,96,35,15
Least Common Multiple of Numerators i.e. LCM of 64,96,35,15 is 6720.
GCF of Denominators means GCF of 59,99,59,805 as per the given fractions.
GCF of 59,99,59,805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,96,35,15
2 | 64, 96, 35, 15 |
2 | 32, 48, 35, 15 |
2 | 16, 24, 35, 15 |
2 | 8, 12, 35, 15 |
2 | 4, 6, 35, 15 |
3 | 2, 3, 35, 15 |
5 | 2, 1, 35, 5 |
2, 1, 7, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 x 1 x 7 x 1 = 6720
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 64,96,35,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,96,35,15) = 1
common factors(in case of two or more numbers have common factors) = 480
GCF(64,96,35,15) x common factors =1 x 480 = 480
LCM(64,96,35,15) = ( 64 × 96 × 35 × 15 ) / 480
LCM(64,96,35,15) = 3225600 / 480
LCM(64,96,35,15) = 6720
Lets's calculate GCF of 59,99,59,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6720/1
Therefore the LCM of Fractions 64/59,96/99,35/59,15/805 is 6720
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 59,99,59,805 . The biggest common factor number is the GCF number.
So the greatest common factor 59,99,59,805 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 64/59, 96/99, 35/59, 15/805?
Answer: LCM of Numerators as per given numbers 64/59, 96/99, 35/59, 15/805 is
LCM of Numerators i.e. for 64,96,35,15 is 6720
GCF of denominators i.e. for 59,99,59,805 is 1.
Thus, LCM of Fractions is 6720.Finally, LCM of Fractions for 64/59, 96/99, 35/59, 15/805 is 6720.