Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/982, 96/230, 455/411 quickly i.e. 43680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/982, 96/230, 455/411 is 43680.
LCM(13/982, 96/230, 455/411) = 43680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/982,96/230,455/411
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 13,96,455
Least Common Multiple of Numerators i.e. LCM of 13,96,455 is 43680.
GCF of Denominators means GCF of 982,230,411 as per the given fractions.
GCF of 982,230,411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,96,455
13 | 13, 96, 455 |
1, 96, 35 |
∴ So the LCM of the given numbers is 13 x 1 x 96 x 35 = 43680
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 13,96,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,96,455) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(13,96,455) x common factors =1 x 13 = 13
LCM(13,96,455) = ( 13 × 96 × 455 ) / 13
LCM(13,96,455) = 567840 / 13
LCM(13,96,455) = 43680
Lets's calculate GCF of 982,230,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43680/1
Therefore the LCM of Fractions 13/982,96/230,455/411 is 43680
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 982,230,411 . The biggest common factor number is the GCF number.
So the greatest common factor 982,230,411 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 13/982, 96/230, 455/411?
Answer: LCM of Numerators as per given numbers 13/982, 96/230, 455/411 is
LCM of Numerators i.e. for 13,96,455 is 43680
GCF of denominators i.e. for 982,230,411 is 1.
Thus, LCM of Fractions is 43680.Finally, LCM of Fractions for 13/982, 96/230, 455/411 is 43680.