Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/452, 3040/1241 quickly i.e. 27360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/452, 3040/1241 is 27360.
LCM(18/452, 3040/1241) = 27360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/452,3040/1241
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 18,3040
Least Common Multiple of Numerators i.e. LCM of 18,3040 is 27360.
GCF of Denominators means GCF of 452,1241 as per the given fractions.
GCF of 452,1241 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,3040
2 | 18, 3040 |
9, 1520 |
∴ So the LCM of the given numbers is 2 x 9 x 1520 = 27360
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 18,3040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,3040) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,3040) x common factors =2 x 1 = 2
LCM(18,3040) = ( 18 × 3040 ) / 2
LCM(18,3040) = 54720 / 2
LCM(18,3040) = 27360
Lets's calculate GCF of 452,1241
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27360/1
Therefore the LCM of Fractions 18/452,3040/1241 is 27360
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 1241
List of positive integer factors of 1241 that divides 1241 without a remainder.
1,17,73,1241
Greatest Common Factor
We found the factors 452,1241 . The biggest common factor number is the GCF number.
So the greatest common factor 452,1241 is 1.
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 18/452, 3040/1241?
Answer: LCM of Numerators as per given numbers 18/452, 3040/1241 is
LCM of Numerators i.e. for 18,3040 is 27360
GCF of denominators i.e. for 452,1241 is 1.
Thus, LCM of Fractions is 27360.Finally, LCM of Fractions for 18/452, 3040/1241 is 27360.