Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/12, 37/28, 56/406 quickly i.e. 15540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/12, 37/28, 56/406 is 15540.
LCM(15/12, 37/28, 56/406) = 15540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/12,37/28,56/406
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 15,37,56
Least Common Multiple of Numerators i.e. LCM of 15,37,56 is 31080.
GCF of Denominators means GCF of 12,28,406 as per the given fractions.
GCF of 12,28,406 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,37,56
Given numbers has no common factors except 1. So, there LCM is their product i.e 31080
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 15,37,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,37,56) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,37,56) x common factors =1 x 1 = 1
LCM(15,37,56) = ( 15 × 37 × 56 ) / 1
LCM(15,37,56) = 31080 / 1
LCM(15,37,56) = 31080
Lets's calculate GCF of 12,28,406
2 | 12, 28, 406 |
6, 14, 203 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31080/2
Therefore the LCM of Fractions 15/12,37/28,56/406 is 15540
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 12,28,406 . The biggest common factor number is the GCF number.
So the greatest common factor 12,28,406 is 2.
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 15/12, 37/28, 56/406?
Answer: LCM of Numerators as per given numbers 15/12, 37/28, 56/406 is
LCM of Numerators i.e. for 15,37,56 is 31080
GCF of denominators i.e. for 12,28,406 is 2.
Thus, LCM of Fractions is 15540.Finally, LCM of Fractions for 15/12, 37/28, 56/406 is 15540.