Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/257, 39/272, 649/605 quickly i.e. 480909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/257, 39/272, 649/605 is 480909.
LCM(57/257, 39/272, 649/605) = 480909
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/257,39/272,649/605
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 57,39,649
Least Common Multiple of Numerators i.e. LCM of 57,39,649 is 480909.
GCF of Denominators means GCF of 257,272,605 as per the given fractions.
GCF of 257,272,605 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,39,649
3 | 57, 39, 649 |
19, 13, 649 |
∴ So the LCM of the given numbers is 3 x 19 x 13 x 649 = 480909
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 57,39,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,39,649) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,39,649) x common factors =1 x 3 = 3
LCM(57,39,649) = ( 57 × 39 × 649 ) / 3
LCM(57,39,649) = 1442727 / 3
LCM(57,39,649) = 480909
Lets's calculate GCF of 257,272,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480909/1
Therefore the LCM of Fractions 57/257,39/272,649/605 is 480909
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 257,272,605 . The biggest common factor number is the GCF number.
So the greatest common factor 257,272,605 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 57/257, 39/272, 649/605?
Answer: LCM of Numerators as per given numbers 57/257, 39/272, 649/605 is
LCM of Numerators i.e. for 57,39,649 is 480909
GCF of denominators i.e. for 257,272,605 is 1.
Thus, LCM of Fractions is 480909.Finally, LCM of Fractions for 57/257, 39/272, 649/605 is 480909.