Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/50, 95/80, 65/33, 52/365 quickly i.e. 14820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/50, 95/80, 65/33, 52/365 is 14820.
LCM(12/50, 95/80, 65/33, 52/365) = 14820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/50,95/80,65/33,52/365
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 12,95,65,52
Least Common Multiple of Numerators i.e. LCM of 12,95,65,52 is 14820.
GCF of Denominators means GCF of 50,80,33,365 as per the given fractions.
GCF of 50,80,33,365 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,95,65,52
2 | 12, 95, 65, 52 |
2 | 6, 95, 65, 26 |
5 | 3, 95, 65, 13 |
13 | 3, 19, 13, 13 |
3, 19, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 3 x 19 x 1 x 1 = 14820
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 12,95,65,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,95,65,52) = 1
common factors(in case of two or more numbers have common factors) = 260
GCF(12,95,65,52) x common factors =1 x 260 = 260
LCM(12,95,65,52) = ( 12 × 95 × 65 × 52 ) / 260
LCM(12,95,65,52) = 3853200 / 260
LCM(12,95,65,52) = 14820
Lets's calculate GCF of 50,80,33,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14820/1
Therefore the LCM of Fractions 12/50,95/80,65/33,52/365 is 14820
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 50,80,33,365 . The biggest common factor number is the GCF number.
So the greatest common factor 50,80,33,365 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 12/50, 95/80, 65/33, 52/365?
Answer: LCM of Numerators as per given numbers 12/50, 95/80, 65/33, 52/365 is
LCM of Numerators i.e. for 12,95,65,52 is 14820
GCF of denominators i.e. for 50,80,33,365 is 1.
Thus, LCM of Fractions is 14820.Finally, LCM of Fractions for 12/50, 95/80, 65/33, 52/365 is 14820.