Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/38, 317/57, 452/343 quickly i.e. 1146272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/38, 317/57, 452/343 is 1146272.
LCM(32/38, 317/57, 452/343) = 1146272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/38,317/57,452/343
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 32,317,452
Least Common Multiple of Numerators i.e. LCM of 32,317,452 is 1146272.
GCF of Denominators means GCF of 38,57,343 as per the given fractions.
GCF of 38,57,343 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,317,452
2 | 32, 317, 452 |
2 | 16, 317, 226 |
8, 317, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 317 x 113 = 1146272
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 32,317,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,317,452) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(32,317,452) x common factors =1 x 4 = 4
LCM(32,317,452) = ( 32 × 317 × 452 ) / 4
LCM(32,317,452) = 4585088 / 4
LCM(32,317,452) = 1146272
Lets's calculate GCF of 38,57,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1146272/1
Therefore the LCM of Fractions 32/38,317/57,452/343 is 1146272
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Greatest Common Factor
We found the factors 38,57,343 . The biggest common factor number is the GCF number.
So the greatest common factor 38,57,343 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 32/38, 317/57, 452/343?
Answer: LCM of Numerators as per given numbers 32/38, 317/57, 452/343 is
LCM of Numerators i.e. for 32,317,452 is 1146272
GCF of denominators i.e. for 38,57,343 is 1.
Thus, LCM of Fractions is 1146272.Finally, LCM of Fractions for 32/38, 317/57, 452/343 is 1146272.