Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 260/81, 459/6228 quickly i.e. 13260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 260/81, 459/6228 is 13260.
LCM(260/81, 459/6228) = 13260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 260/81,459/6228
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 260,459
Least Common Multiple of Numerators i.e. LCM of 260,459 is 119340.
GCF of Denominators means GCF of 81,6228 as per the given fractions.
GCF of 81,6228 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 260,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 119340
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 260,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(260,459) x common factors =1 x 1 = 1
LCM(260,459) = ( 260 × 459 ) / 1
LCM(260,459) = 119340 / 1
LCM(260,459) = 119340
Lets's calculate GCF of 81,6228
3 | 81, 6228 |
3 | 27, 2076 |
9, 692 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119340/9
Therefore the LCM of Fractions 260/81,459/6228 is 13260
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 6228
List of positive integer factors of 6228 that divides 6228 without a remainder.
1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228
Greatest Common Factor
We found the factors 81,6228 . The biggest common factor number is the GCF number.
So the greatest common factor 81,6228 is 9.
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 260/81, 459/6228?
Answer: LCM of Numerators as per given numbers 260/81, 459/6228 is
LCM of Numerators i.e. for 260,459 is 119340
GCF of denominators i.e. for 81,6228 is 9.
Thus, LCM of Fractions is 13260.Finally, LCM of Fractions for 260/81, 459/6228 is 13260.