Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/24, 83/27, 60/14, 15/649 quickly i.e. 4980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/24, 83/27, 60/14, 15/649 is 4980.
LCM(15/24, 83/27, 60/14, 15/649) = 4980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/24,83/27,60/14,15/649
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 15,83,60,15
Least Common Multiple of Numerators i.e. LCM of 15,83,60,15 is 4980.
GCF of Denominators means GCF of 24,27,14,649 as per the given fractions.
GCF of 24,27,14,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,83,60,15
3 | 15, 83, 60, 15 |
5 | 5, 83, 20, 5 |
1, 83, 4, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 83 x 4 x 1 = 4980
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 15,83,60,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,83,60,15) = 1
common factors(in case of two or more numbers have common factors) = 225
GCF(15,83,60,15) x common factors =1 x 225 = 225
LCM(15,83,60,15) = ( 15 × 83 × 60 × 15 ) / 225
LCM(15,83,60,15) = 1120500 / 225
LCM(15,83,60,15) = 4980
Lets's calculate GCF of 24,27,14,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4980/1
Therefore the LCM of Fractions 15/24,83/27,60/14,15/649 is 4980
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 24,27,14,649 . The biggest common factor number is the GCF number.
So the greatest common factor 24,27,14,649 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 15/24, 83/27, 60/14, 15/649?
Answer: LCM of Numerators as per given numbers 15/24, 83/27, 60/14, 15/649 is
LCM of Numerators i.e. for 15,83,60,15 is 4980
GCF of denominators i.e. for 24,27,14,649 is 1.
Thus, LCM of Fractions is 4980.Finally, LCM of Fractions for 15/24, 83/27, 60/14, 15/649 is 4980.