Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 913/317, 645/524, 747/898 quickly i.e. 1766655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 913/317, 645/524, 747/898 is 1766655.
LCM(913/317, 645/524, 747/898) = 1766655
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 913/317,645/524,747/898
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 913,645,747
Least Common Multiple of Numerators i.e. LCM of 913,645,747 is 1766655.
GCF of Denominators means GCF of 317,524,898 as per the given fractions.
GCF of 317,524,898 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 913,645,747
3 | 913, 645, 747 |
83 | 913, 215, 249 |
11, 215, 3 |
∴ So the LCM of the given numbers is 3 x 83 x 11 x 215 x 3 = 1766655
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 913,645,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,645,747) = 1
common factors(in case of two or more numbers have common factors) = 249
GCF(913,645,747) x common factors =1 x 249 = 249
LCM(913,645,747) = ( 913 × 645 × 747 ) / 249
LCM(913,645,747) = 439897095 / 249
LCM(913,645,747) = 1766655
Lets's calculate GCF of 317,524,898
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1766655/1
Therefore the LCM of Fractions 913/317,645/524,747/898 is 1766655
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Greatest Common Factor
We found the factors 317,524,898 . The biggest common factor number is the GCF number.
So the greatest common factor 317,524,898 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 913/317, 645/524, 747/898?
Answer: LCM of Numerators as per given numbers 913/317, 645/524, 747/898 is
LCM of Numerators i.e. for 913,645,747 is 1766655
GCF of denominators i.e. for 317,524,898 is 1.
Thus, LCM of Fractions is 1766655.Finally, LCM of Fractions for 913/317, 645/524, 747/898 is 1766655.