Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2605/450, 9136/6975 quickly i.e. 23799280/225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2605/450, 9136/6975 is 23799280/225.
LCM(2605/450, 9136/6975) = 23799280/225
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2605/450,9136/6975
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 2605,9136
Least Common Multiple of Numerators i.e. LCM of 2605,9136 is 23799280.
GCF of Denominators means GCF of 450,6975 as per the given fractions.
GCF of 450,6975 is 225 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2605,9136
Given numbers has no common factors except 1. So, there LCM is their product i.e 23799280
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 2605,9136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2605,9136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2605,9136) x common factors =1 x 1 = 1
LCM(2605,9136) = ( 2605 × 9136 ) / 1
LCM(2605,9136) = 23799280 / 1
LCM(2605,9136) = 23799280
Lets's calculate GCF of 450,6975
3 | 450, 6975 |
3 | 150, 2325 |
5 | 50, 775 |
5 | 10, 155 |
2, 31 |
∴ So the GCF of the given numbers is 3 x 3 x 5 x 5 = 225
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23799280/225
Therefore the LCM of Fractions 2605/450,9136/6975 is 23799280/225
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 6975
List of positive integer factors of 6975 that divides 6975 without a remainder.
1,3,5,9,15,25,31,45,75,93,155,225,279,465,775,1395,2325,6975
Greatest Common Factor
We found the factors 450,6975 . The biggest common factor number is the GCF number.
So the greatest common factor 450,6975 is 225.
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 2605/450, 9136/6975?
Answer: LCM of Numerators as per given numbers 2605/450, 9136/6975 is
LCM of Numerators i.e. for 2605,9136 is 23799280
GCF of denominators i.e. for 450,6975 is 225.
Thus, LCM of Fractions is 23799280/225.Finally, LCM of Fractions for 2605/450, 9136/6975 is 23799280/225.