Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 586/450, 705/915 quickly i.e. 27542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 586/450, 705/915 is 27542.
LCM(586/450, 705/915) = 27542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 586/450,705/915
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 586,705
Least Common Multiple of Numerators i.e. LCM of 586,705 is 413130.
GCF of Denominators means GCF of 450,915 as per the given fractions.
GCF of 450,915 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 586,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 413130
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 586,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,705) x common factors =1 x 1 = 1
LCM(586,705) = ( 586 × 705 ) / 1
LCM(586,705) = 413130 / 1
LCM(586,705) = 413130
Lets's calculate GCF of 450,915
3 | 450, 915 |
5 | 150, 305 |
30, 61 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413130/15
Therefore the LCM of Fractions 586/450,705/915 is 27542
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 450,915 . The biggest common factor number is the GCF number.
So the greatest common factor 450,915 is 15.
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 586/450, 705/915?
Answer: LCM of Numerators as per given numbers 586/450, 705/915 is
LCM of Numerators i.e. for 586,705 is 413130
GCF of denominators i.e. for 450,915 is 15.
Thus, LCM of Fractions is 27542.Finally, LCM of Fractions for 586/450, 705/915 is 27542.