Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/903, 8913/6351 quickly i.e. 50507 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/903, 8913/6351 is 50507.
LCM(17/903, 8913/6351) = 50507
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/903,8913/6351
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 17,8913
Least Common Multiple of Numerators i.e. LCM of 17,8913 is 151521.
GCF of Denominators means GCF of 903,6351 as per the given fractions.
GCF of 903,6351 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,8913
Given numbers has no common factors except 1. So, there LCM is their product i.e 151521
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 17,8913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,8913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,8913) x common factors =1 x 1 = 1
LCM(17,8913) = ( 17 × 8913 ) / 1
LCM(17,8913) = 151521 / 1
LCM(17,8913) = 151521
Lets's calculate GCF of 903,6351
3 | 903, 6351 |
301, 2117 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151521/3
Therefore the LCM of Fractions 17/903,8913/6351 is 50507
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 6351
List of positive integer factors of 6351 that divides 6351 without a remainder.
1,3,29,73,87,219,2117,6351
Greatest Common Factor
We found the factors 903,6351 . The biggest common factor number is the GCF number.
So the greatest common factor 903,6351 is 3.
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 17/903, 8913/6351?
Answer: LCM of Numerators as per given numbers 17/903, 8913/6351 is
LCM of Numerators i.e. for 17,8913 is 151521
GCF of denominators i.e. for 903,6351 is 3.
Thus, LCM of Fractions is 50507.Finally, LCM of Fractions for 17/903, 8913/6351 is 50507.