Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2868/315, 3603/2955 quickly i.e. 3444468/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2868/315, 3603/2955 is 3444468/15.
LCM(2868/315, 3603/2955) = 3444468/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2868/315,3603/2955
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 2868,3603
Least Common Multiple of Numerators i.e. LCM of 2868,3603 is 3444468.
GCF of Denominators means GCF of 315,2955 as per the given fractions.
GCF of 315,2955 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2868,3603
3 | 2868, 3603 |
956, 1201 |
∴ So the LCM of the given numbers is 3 x 956 x 1201 = 3444468
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 2868,3603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2868,3603) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(2868,3603) x common factors =3 x 1 = 3
LCM(2868,3603) = ( 2868 × 3603 ) / 3
LCM(2868,3603) = 10333404 / 3
LCM(2868,3603) = 3444468
Lets's calculate GCF of 315,2955
3 | 315, 2955 |
5 | 105, 985 |
21, 197 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3444468/15
Therefore the LCM of Fractions 2868/315,3603/2955 is 3444468/15
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 2955
List of positive integer factors of 2955 that divides 2955 without a remainder.
1,3,5,15,197,591,985,2955
Greatest Common Factor
We found the factors 315,2955 . The biggest common factor number is the GCF number.
So the greatest common factor 315,2955 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 2868/315, 3603/2955?
Answer: LCM of Numerators as per given numbers 2868/315, 3603/2955 is
LCM of Numerators i.e. for 2868,3603 is 3444468
GCF of denominators i.e. for 315,2955 is 15.
Thus, LCM of Fractions is 3444468/15.Finally, LCM of Fractions for 2868/315, 3603/2955 is 3444468/15.