Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6205/300, 2496/3288 quickly i.e. 1290640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6205/300, 2496/3288 is 1290640.
LCM(6205/300, 2496/3288) = 1290640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6205/300,2496/3288
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 6205,2496
Least Common Multiple of Numerators i.e. LCM of 6205,2496 is 15487680.
GCF of Denominators means GCF of 300,3288 as per the given fractions.
GCF of 300,3288 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6205,2496
Given numbers has no common factors except 1. So, there LCM is their product i.e 15487680
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 6205,2496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6205,2496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6205,2496) x common factors =1 x 1 = 1
LCM(6205,2496) = ( 6205 × 2496 ) / 1
LCM(6205,2496) = 15487680 / 1
LCM(6205,2496) = 15487680
Lets's calculate GCF of 300,3288
2 | 300, 3288 |
2 | 150, 1644 |
3 | 75, 822 |
25, 274 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15487680/12
Therefore the LCM of Fractions 6205/300,2496/3288 is 1290640
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 3288
List of positive integer factors of 3288 that divides 3288 without a remainder.
1,2,3,4,6,8,12,24,137,274,411,548,822,1096,1644,3288
Greatest Common Factor
We found the factors 300,3288 . The biggest common factor number is the GCF number.
So the greatest common factor 300,3288 is 12.
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 6205/300, 2496/3288?
Answer: LCM of Numerators as per given numbers 6205/300, 2496/3288 is
LCM of Numerators i.e. for 6205,2496 is 15487680
GCF of denominators i.e. for 300,3288 is 12.
Thus, LCM of Fractions is 1290640.Finally, LCM of Fractions for 6205/300, 2496/3288 is 1290640.