Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 810/150, 2845/927 quickly i.e. 153630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 810/150, 2845/927 is 153630.
LCM(810/150, 2845/927) = 153630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 810/150,2845/927
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 810,2845
Least Common Multiple of Numerators i.e. LCM of 810,2845 is 460890.
GCF of Denominators means GCF of 150,927 as per the given fractions.
GCF of 150,927 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 810,2845
5 | 810, 2845 |
162, 569 |
∴ So the LCM of the given numbers is 5 x 162 x 569 = 460890
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 810,2845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,2845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(810,2845) x common factors =5 x 1 = 5
LCM(810,2845) = ( 810 × 2845 ) / 5
LCM(810,2845) = 2304450 / 5
LCM(810,2845) = 460890
Lets's calculate GCF of 150,927
3 | 150, 927 |
50, 309 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460890/3
Therefore the LCM of Fractions 810/150,2845/927 is 153630
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Greatest Common Factor
We found the factors 150,927 . The biggest common factor number is the GCF number.
So the greatest common factor 150,927 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 810/150, 2845/927?
Answer: LCM of Numerators as per given numbers 810/150, 2845/927 is
LCM of Numerators i.e. for 810,2845 is 460890
GCF of denominators i.e. for 150,927 is 3.
Thus, LCM of Fractions is 153630.Finally, LCM of Fractions for 810/150, 2845/927 is 153630.