Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 555/66, 329/8787 quickly i.e. 60865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 555/66, 329/8787 is 60865.
LCM(555/66, 329/8787) = 60865
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 555/66,329/8787
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 555,329
Least Common Multiple of Numerators i.e. LCM of 555,329 is 182595.
GCF of Denominators means GCF of 66,8787 as per the given fractions.
GCF of 66,8787 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 555,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 182595
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 555,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,329) x common factors =1 x 1 = 1
LCM(555,329) = ( 555 × 329 ) / 1
LCM(555,329) = 182595 / 1
LCM(555,329) = 182595
Lets's calculate GCF of 66,8787
3 | 66, 8787 |
22, 2929 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182595/3
Therefore the LCM of Fractions 555/66,329/8787 is 60865
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 8787
List of positive integer factors of 8787 that divides 8787 without a remainder.
1,3,29,87,101,303,2929,8787
Greatest Common Factor
We found the factors 66,8787 . The biggest common factor number is the GCF number.
So the greatest common factor 66,8787 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 555/66, 329/8787?
Answer: LCM of Numerators as per given numbers 555/66, 329/8787 is
LCM of Numerators i.e. for 555,329 is 182595
GCF of denominators i.e. for 66,8787 is 3.
Thus, LCM of Fractions is 60865.Finally, LCM of Fractions for 555/66, 329/8787 is 60865.