Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/517, 4630/8239 quickly i.e. 83340/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/517, 4630/8239 is 83340/11.
LCM(36/517, 4630/8239) = 83340/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/517,4630/8239
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 36,4630
Least Common Multiple of Numerators i.e. LCM of 36,4630 is 83340.
GCF of Denominators means GCF of 517,8239 as per the given fractions.
GCF of 517,8239 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,4630
2 | 36, 4630 |
18, 2315 |
∴ So the LCM of the given numbers is 2 x 18 x 2315 = 83340
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 36,4630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,4630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(36,4630) x common factors =2 x 1 = 2
LCM(36,4630) = ( 36 × 4630 ) / 2
LCM(36,4630) = 166680 / 2
LCM(36,4630) = 83340
Lets's calculate GCF of 517,8239
11 | 517, 8239 |
47, 749 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83340/11
Therefore the LCM of Fractions 36/517,4630/8239 is 83340/11
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 8239
List of positive integer factors of 8239 that divides 8239 without a remainder.
1,7,11,77,107,749,1177,8239
Greatest Common Factor
We found the factors 517,8239 . The biggest common factor number is the GCF number.
So the greatest common factor 517,8239 is 11.
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 36/517, 4630/8239?
Answer: LCM of Numerators as per given numbers 36/517, 4630/8239 is
LCM of Numerators i.e. for 36,4630 is 83340
GCF of denominators i.e. for 517,8239 is 11.
Thus, LCM of Fractions is 83340/11.Finally, LCM of Fractions for 36/517, 4630/8239 is 83340/11.