Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/419, 52/418, 448/897 quickly i.e. 17472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/419, 52/418, 448/897 is 17472.
LCM(96/419, 52/418, 448/897) = 17472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/419,52/418,448/897
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 96,52,448
Least Common Multiple of Numerators i.e. LCM of 96,52,448 is 17472.
GCF of Denominators means GCF of 419,418,897 as per the given fractions.
GCF of 419,418,897 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,52,448
2 | 96, 52, 448 |
2 | 48, 26, 224 |
2 | 24, 13, 112 |
2 | 12, 13, 56 |
2 | 6, 13, 28 |
3, 13, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 13 x 14 = 17472
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 96,52,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,52,448) = 4
common factors(in case of two or more numbers have common factors) = 32
GCF(96,52,448) x common factors =4 x 32 = 128
LCM(96,52,448) = ( 96 × 52 × 448 ) / 128
LCM(96,52,448) = 2236416 / 128
LCM(96,52,448) = 17472
Lets's calculate GCF of 419,418,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17472/1
Therefore the LCM of Fractions 96/419,52/418,448/897 is 17472
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 419,418,897 . The biggest common factor number is the GCF number.
So the greatest common factor 419,418,897 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 96/419, 52/418, 448/897?
Answer: LCM of Numerators as per given numbers 96/419, 52/418, 448/897 is
LCM of Numerators i.e. for 96,52,448 is 17472
GCF of denominators i.e. for 419,418,897 is 1.
Thus, LCM of Fractions is 17472.Finally, LCM of Fractions for 96/419, 52/418, 448/897 is 17472.