Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2404/135, 2868/1101 quickly i.e. 574556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2404/135, 2868/1101 is 574556.
LCM(2404/135, 2868/1101) = 574556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2404/135,2868/1101
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 2404,2868
Least Common Multiple of Numerators i.e. LCM of 2404,2868 is 1723668.
GCF of Denominators means GCF of 135,1101 as per the given fractions.
GCF of 135,1101 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2404,2868
2 | 2404, 2868 |
2 | 1202, 1434 |
601, 717 |
∴ So the LCM of the given numbers is 2 x 2 x 601 x 717 = 1723668
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 2404,2868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2404,2868) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2404,2868) x common factors =4 x 1 = 4
LCM(2404,2868) = ( 2404 × 2868 ) / 4
LCM(2404,2868) = 6894672 / 4
LCM(2404,2868) = 1723668
Lets's calculate GCF of 135,1101
3 | 135, 1101 |
45, 367 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1723668/3
Therefore the LCM of Fractions 2404/135,2868/1101 is 574556
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 1101
List of positive integer factors of 1101 that divides 1101 without a remainder.
1,3,367,1101
Greatest Common Factor
We found the factors 135,1101 . The biggest common factor number is the GCF number.
So the greatest common factor 135,1101 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 2404/135, 2868/1101?
Answer: LCM of Numerators as per given numbers 2404/135, 2868/1101 is
LCM of Numerators i.e. for 2404,2868 is 1723668
GCF of denominators i.e. for 135,1101 is 3.
Thus, LCM of Fractions is 574556.Finally, LCM of Fractions for 2404/135, 2868/1101 is 574556.