Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/12, 95/80, 513/437 quickly i.e. 28215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/12, 95/80, 513/437 is 28215.
LCM(99/12, 95/80, 513/437) = 28215
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/12,95/80,513/437
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 99,95,513
Least Common Multiple of Numerators i.e. LCM of 99,95,513 is 28215.
GCF of Denominators means GCF of 12,80,437 as per the given fractions.
GCF of 12,80,437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,95,513
3 | 99, 95, 513 |
3 | 33, 95, 171 |
19 | 11, 95, 57 |
11, 5, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 19 x 11 x 5 x 3 = 28215
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 99,95,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,95,513) = 1
common factors(in case of two or more numbers have common factors) = 171
GCF(99,95,513) x common factors =1 x 171 = 171
LCM(99,95,513) = ( 99 × 95 × 513 ) / 171
LCM(99,95,513) = 4824765 / 171
LCM(99,95,513) = 28215
Lets's calculate GCF of 12,80,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28215/1
Therefore the LCM of Fractions 99/12,95/80,513/437 is 28215
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
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 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 12,80,437 . The biggest common factor number is the GCF number.
So the greatest common factor 12,80,437 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 99/12, 95/80, 513/437?
Answer: LCM of Numerators as per given numbers 99/12, 95/80, 513/437 is
LCM of Numerators i.e. for 99,95,513 is 28215
GCF of denominators i.e. for 12,80,437 is 1.
Thus, LCM of Fractions is 28215.Finally, LCM of Fractions for 99/12, 95/80, 513/437 is 28215.