Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/17, 242/8177 quickly i.e. 209330/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/17, 242/8177 is 209330/17.
LCM(865/17, 242/8177) = 209330/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/17,242/8177
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 865,242
Least Common Multiple of Numerators i.e. LCM of 865,242 is 209330.
GCF of Denominators means GCF of 17,8177 as per the given fractions.
GCF of 17,8177 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 209330
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 865,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,242) x common factors =1 x 1 = 1
LCM(865,242) = ( 865 × 242 ) / 1
LCM(865,242) = 209330 / 1
LCM(865,242) = 209330
Lets's calculate GCF of 17,8177
17 | 17, 8177 |
1, 481 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209330/17
Therefore the LCM of Fractions 865/17,242/8177 is 209330/17
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 8177
List of positive integer factors of 8177 that divides 8177 without a remainder.
1,13,17,37,221,481,629,8177
Greatest Common Factor
We found the factors 17,8177 . The biggest common factor number is the GCF number.
So the greatest common factor 17,8177 is 17.
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 865/17, 242/8177?
Answer: LCM of Numerators as per given numbers 865/17, 242/8177 is
LCM of Numerators i.e. for 865,242 is 209330
GCF of denominators i.e. for 17,8177 is 17.
Thus, LCM of Fractions is 209330/17.Finally, LCM of Fractions for 865/17, 242/8177 is 209330/17.