Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 205/36, 130/8547 quickly i.e. 5330/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 205/36, 130/8547 is 5330/3.
LCM(205/36, 130/8547) = 5330/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 205/36,130/8547
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 205,130
Least Common Multiple of Numerators i.e. LCM of 205,130 is 5330.
GCF of Denominators means GCF of 36,8547 as per the given fractions.
GCF of 36,8547 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 205,130
5 | 205, 130 |
41, 26 |
∴ So the LCM of the given numbers is 5 x 41 x 26 = 5330
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 205,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,130) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,130) x common factors =5 x 1 = 5
LCM(205,130) = ( 205 × 130 ) / 5
LCM(205,130) = 26650 / 5
LCM(205,130) = 5330
Lets's calculate GCF of 36,8547
3 | 36, 8547 |
12, 2849 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5330/3
Therefore the LCM of Fractions 205/36,130/8547 is 5330/3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 8547
List of positive integer factors of 8547 that divides 8547 without a remainder.
1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547
Greatest Common Factor
We found the factors 36,8547 . The biggest common factor number is the GCF number.
So the greatest common factor 36,8547 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 205/36, 130/8547?
Answer: LCM of Numerators as per given numbers 205/36, 130/8547 is
LCM of Numerators i.e. for 205,130 is 5330
GCF of denominators i.e. for 36,8547 is 3.
Thus, LCM of Fractions is 5330/3.Finally, LCM of Fractions for 205/36, 130/8547 is 5330/3.