Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/64, 23/34, 65/53, 39/556 quickly i.e. 4485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/64, 23/34, 65/53, 39/556 is 4485.
LCM(65/64, 23/34, 65/53, 39/556) = 4485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/64,23/34,65/53,39/556
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 65,23,65,39
Least Common Multiple of Numerators i.e. LCM of 65,23,65,39 is 4485.
GCF of Denominators means GCF of 64,34,53,556 as per the given fractions.
GCF of 64,34,53,556 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,23,65,39
5 | 65, 23, 65, 39 |
13 | 13, 23, 13, 39 |
1, 23, 1, 3 |
∴ So the LCM of the given numbers is 5 x 13 x 1 x 23 x 1 x 3 = 4485
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 65,23,65,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,23,65,39) = 1
common factors(in case of two or more numbers have common factors) = 845
GCF(65,23,65,39) x common factors =1 x 845 = 845
LCM(65,23,65,39) = ( 65 × 23 × 65 × 39 ) / 845
LCM(65,23,65,39) = 3789825 / 845
LCM(65,23,65,39) = 4485
Lets's calculate GCF of 64,34,53,556
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4485/1
Therefore the LCM of Fractions 65/64,23/34,65/53,39/556 is 4485
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 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 64,34,53,556 . The biggest common factor number is the GCF number.
So the greatest common factor 64,34,53,556 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 65/64, 23/34, 65/53, 39/556?
Answer: LCM of Numerators as per given numbers 65/64, 23/34, 65/53, 39/556 is
LCM of Numerators i.e. for 65,23,65,39 is 4485
GCF of denominators i.e. for 64,34,53,556 is 1.
Thus, LCM of Fractions is 4485.Finally, LCM of Fractions for 65/64, 23/34, 65/53, 39/556 is 4485.