Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/25, 252/30, 989/515 quickly i.e. 747684/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/25, 252/30, 989/515 is 747684/5.
LCM(27/25, 252/30, 989/515) = 747684/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/25,252/30,989/515
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 27,252,989
Least Common Multiple of Numerators i.e. LCM of 27,252,989 is 747684.
GCF of Denominators means GCF of 25,30,515 as per the given fractions.
GCF of 25,30,515 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,252,989
3 | 27, 252, 989 |
3 | 9, 84, 989 |
3, 28, 989 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 28 x 989 = 747684
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 27,252,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,252,989) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(27,252,989) x common factors =1 x 9 = 9
LCM(27,252,989) = ( 27 × 252 × 989 ) / 9
LCM(27,252,989) = 6729156 / 9
LCM(27,252,989) = 747684
Lets's calculate GCF of 25,30,515
5 | 25, 30, 515 |
5, 6, 103 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 747684/5
Therefore the LCM of Fractions 27/25,252/30,989/515 is 747684/5
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Greatest Common Factor
We found the factors 25,30,515 . The biggest common factor number is the GCF number.
So the greatest common factor 25,30,515 is 5.
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 27/25, 252/30, 989/515?
Answer: LCM of Numerators as per given numbers 27/25, 252/30, 989/515 is
LCM of Numerators i.e. for 27,252,989 is 747684
GCF of denominators i.e. for 25,30,515 is 5.
Thus, LCM of Fractions is 747684/5.Finally, LCM of Fractions for 27/25, 252/30, 989/515 is 747684/5.