Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/253, 2484/2750 quickly i.e. 2484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/253, 2484/2750 is 2484.
LCM(11/253, 2484/2750) = 2484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/253,2484/2750
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 11,2484
Least Common Multiple of Numerators i.e. LCM of 11,2484 is 27324.
GCF of Denominators means GCF of 253,2750 as per the given fractions.
GCF of 253,2750 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,2484
Given numbers has no common factors except 1. So, there LCM is their product i.e 27324
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 11,2484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,2484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,2484) x common factors =1 x 1 = 1
LCM(11,2484) = ( 11 × 2484 ) / 1
LCM(11,2484) = 27324 / 1
LCM(11,2484) = 27324
Lets's calculate GCF of 253,2750
11 | 253, 2750 |
23, 250 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27324/11
Therefore the LCM of Fractions 11/253,2484/2750 is 2484
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 2750
List of positive integer factors of 2750 that divides 2750 without a remainder.
1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750
Greatest Common Factor
We found the factors 253,2750 . The biggest common factor number is the GCF number.
So the greatest common factor 253,2750 is 11.
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 11/253, 2484/2750?
Answer: LCM of Numerators as per given numbers 11/253, 2484/2750 is
LCM of Numerators i.e. for 11,2484 is 27324
GCF of denominators i.e. for 253,2750 is 11.
Thus, LCM of Fractions is 2484.Finally, LCM of Fractions for 11/253, 2484/2750 is 2484.