Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 485/33, 268/8767 quickly i.e. 129980/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 485/33, 268/8767 is 129980/11.
LCM(485/33, 268/8767) = 129980/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 485/33,268/8767
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 485,268
Least Common Multiple of Numerators i.e. LCM of 485,268 is 129980.
GCF of Denominators means GCF of 33,8767 as per the given fractions.
GCF of 33,8767 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 485,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 129980
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 485,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,268) x common factors =1 x 1 = 1
LCM(485,268) = ( 485 × 268 ) / 1
LCM(485,268) = 129980 / 1
LCM(485,268) = 129980
Lets's calculate GCF of 33,8767
11 | 33, 8767 |
3, 797 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129980/11
Therefore the LCM of Fractions 485/33,268/8767 is 129980/11
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1,11,797,8767
Greatest Common Factor
We found the factors 33,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 33,8767 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 485/33, 268/8767?
Answer: LCM of Numerators as per given numbers 485/33, 268/8767 is
LCM of Numerators i.e. for 485,268 is 129980
GCF of denominators i.e. for 33,8767 is 11.
Thus, LCM of Fractions is 129980/11.Finally, LCM of Fractions for 485/33, 268/8767 is 129980/11.