Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 240/26, 566/41, 343/273 quickly i.e. 23296560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 240/26, 566/41, 343/273 is 23296560.
LCM(240/26, 566/41, 343/273) = 23296560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 240/26,566/41,343/273
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 240,566,343
Least Common Multiple of Numerators i.e. LCM of 240,566,343 is 23296560.
GCF of Denominators means GCF of 26,41,273 as per the given fractions.
GCF of 26,41,273 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 240,566,343
2 | 240, 566, 343 |
120, 283, 343 |
∴ So the LCM of the given numbers is 2 x 120 x 283 x 343 = 23296560
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 240,566,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,566,343) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(240,566,343) x common factors =1 x 2 = 2
LCM(240,566,343) = ( 240 × 566 × 343 ) / 2
LCM(240,566,343) = 46593120 / 2
LCM(240,566,343) = 23296560
Lets's calculate GCF of 26,41,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23296560/1
Therefore the LCM of Fractions 240/26,566/41,343/273 is 23296560
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 26,41,273 . The biggest common factor number is the GCF number.
So the greatest common factor 26,41,273 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 240/26, 566/41, 343/273?
Answer: LCM of Numerators as per given numbers 240/26, 566/41, 343/273 is
LCM of Numerators i.e. for 240,566,343 is 23296560
GCF of denominators i.e. for 26,41,273 is 1.
Thus, LCM of Fractions is 23296560.Finally, LCM of Fractions for 240/26, 566/41, 343/273 is 23296560.