Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 112/15, 582/27, 315/423 quickly i.e. 162960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 112/15, 582/27, 315/423 is 162960.
LCM(112/15, 582/27, 315/423) = 162960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 112/15,582/27,315/423
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 112,582,315
Least Common Multiple of Numerators i.e. LCM of 112,582,315 is 488880.
GCF of Denominators means GCF of 15,27,423 as per the given fractions.
GCF of 15,27,423 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 112,582,315
2 | 112, 582, 315 |
3 | 56, 291, 315 |
7 | 56, 97, 105 |
8, 97, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 8 x 97 x 15 = 488880
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 112,582,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,582,315) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(112,582,315) x common factors =1 x 42 = 42
LCM(112,582,315) = ( 112 × 582 × 315 ) / 42
LCM(112,582,315) = 20532960 / 42
LCM(112,582,315) = 488880
Lets's calculate GCF of 15,27,423
3 | 15, 27, 423 |
5, 9, 141 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488880/3
Therefore the LCM of Fractions 112/15,582/27,315/423 is 162960
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 15,27,423 . The biggest common factor number is the GCF number.
So the greatest common factor 15,27,423 is 3.
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 112/15, 582/27, 315/423?
Answer: LCM of Numerators as per given numbers 112/15, 582/27, 315/423 is
LCM of Numerators i.e. for 112,582,315 is 488880
GCF of denominators i.e. for 15,27,423 is 3.
Thus, LCM of Fractions is 162960.Finally, LCM of Fractions for 112/15, 582/27, 315/423 is 162960.