Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2551/330, 9885/741 quickly i.e. 8405545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2551/330, 9885/741 is 8405545.
LCM(2551/330, 9885/741) = 8405545
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2551/330,9885/741
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 2551,9885
Least Common Multiple of Numerators i.e. LCM of 2551,9885 is 25216635.
GCF of Denominators means GCF of 330,741 as per the given fractions.
GCF of 330,741 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2551,9885
Given numbers has no common factors except 1. So, there LCM is their product i.e 25216635
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 2551,9885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2551,9885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2551,9885) x common factors =1 x 1 = 1
LCM(2551,9885) = ( 2551 × 9885 ) / 1
LCM(2551,9885) = 25216635 / 1
LCM(2551,9885) = 25216635
Lets's calculate GCF of 330,741
3 | 330, 741 |
110, 247 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25216635/3
Therefore the LCM of Fractions 2551/330,9885/741 is 8405545
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 330,741 . The biggest common factor number is the GCF number.
So the greatest common factor 330,741 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 2551/330, 9885/741?
Answer: LCM of Numerators as per given numbers 2551/330, 9885/741 is
LCM of Numerators i.e. for 2551,9885 is 25216635
GCF of denominators i.e. for 330,741 is 3.
Thus, LCM of Fractions is 8405545.Finally, LCM of Fractions for 2551/330, 9885/741 is 8405545.