Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 595/64, 599/6990 quickly i.e. 356405/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 595/64, 599/6990 is 356405/2.
LCM(595/64, 599/6990) = 356405/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 595/64,599/6990
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 595,599
Least Common Multiple of Numerators i.e. LCM of 595,599 is 356405.
GCF of Denominators means GCF of 64,6990 as per the given fractions.
GCF of 64,6990 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 595,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 356405
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 595,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,599) x common factors =1 x 1 = 1
LCM(595,599) = ( 595 × 599 ) / 1
LCM(595,599) = 356405 / 1
LCM(595,599) = 356405
Lets's calculate GCF of 64,6990
2 | 64, 6990 |
32, 3495 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356405/2
Therefore the LCM of Fractions 595/64,599/6990 is 356405/2
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 6990
List of positive integer factors of 6990 that divides 6990 without a remainder.
1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990
Greatest Common Factor
We found the factors 64,6990 . The biggest common factor number is the GCF number.
So the greatest common factor 64,6990 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 595/64, 599/6990?
Answer: LCM of Numerators as per given numbers 595/64, 599/6990 is
LCM of Numerators i.e. for 595,599 is 356405
GCF of denominators i.e. for 64,6990 is 2.
Thus, LCM of Fractions is 356405/2.Finally, LCM of Fractions for 595/64, 599/6990 is 356405/2.