Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 517/686, 860/774 quickly i.e. 222310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 517/686, 860/774 is 222310.
LCM(517/686, 860/774) = 222310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 517/686,860/774
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 517,860
Least Common Multiple of Numerators i.e. LCM of 517,860 is 444620.
GCF of Denominators means GCF of 686,774 as per the given fractions.
GCF of 686,774 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 517,860
Given numbers has no common factors except 1. So, there LCM is their product i.e 444620
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 517,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,860) x common factors =1 x 1 = 1
LCM(517,860) = ( 517 × 860 ) / 1
LCM(517,860) = 444620 / 1
LCM(517,860) = 444620
Lets's calculate GCF of 686,774
2 | 686, 774 |
343, 387 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444620/2
Therefore the LCM of Fractions 517/686,860/774 is 222310
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 686,774 . The biggest common factor number is the GCF number.
So the greatest common factor 686,774 is 2.
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 517/686, 860/774?
Answer: LCM of Numerators as per given numbers 517/686, 860/774 is
LCM of Numerators i.e. for 517,860 is 444620
GCF of denominators i.e. for 686,774 is 2.
Thus, LCM of Fractions is 222310.Finally, LCM of Fractions for 517/686, 860/774 is 222310.