Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/29, 566/7905 quickly i.e. 489590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/29, 566/7905 is 489590.
LCM(865/29, 566/7905) = 489590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/29,566/7905
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 865,566
Least Common Multiple of Numerators i.e. LCM of 865,566 is 489590.
GCF of Denominators means GCF of 29,7905 as per the given fractions.
GCF of 29,7905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 489590
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 865,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,566) x common factors =1 x 1 = 1
LCM(865,566) = ( 865 × 566 ) / 1
LCM(865,566) = 489590 / 1
LCM(865,566) = 489590
Lets's calculate GCF of 29,7905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489590/1
Therefore the LCM of Fractions 865/29,566/7905 is 489590
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 7905
List of positive integer factors of 7905 that divides 7905 without a remainder.
1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Greatest Common Factor
We found the factors 29,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 29,7905 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 865/29, 566/7905?
Answer: LCM of Numerators as per given numbers 865/29, 566/7905 is
LCM of Numerators i.e. for 865,566 is 489590
GCF of denominators i.e. for 29,7905 is 1.
Thus, LCM of Fractions is 489590.Finally, LCM of Fractions for 865/29, 566/7905 is 489590.