Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/520, 73/821, 268/499 quickly i.e. 176076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/520, 73/821, 268/499 is 176076.
LCM(18/520, 73/821, 268/499) = 176076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/520,73/821,268/499
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 18,73,268
Least Common Multiple of Numerators i.e. LCM of 18,73,268 is 176076.
GCF of Denominators means GCF of 520,821,499 as per the given fractions.
GCF of 520,821,499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,73,268
2 | 18, 73, 268 |
9, 73, 134 |
∴ So the LCM of the given numbers is 2 x 9 x 73 x 134 = 176076
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 18,73,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,73,268) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,73,268) x common factors =1 x 2 = 2
LCM(18,73,268) = ( 18 × 73 × 268 ) / 2
LCM(18,73,268) = 352152 / 2
LCM(18,73,268) = 176076
Lets's calculate GCF of 520,821,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176076/1
Therefore the LCM of Fractions 18/520,73/821,268/499 is 176076
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 520,821,499 . The biggest common factor number is the GCF number.
So the greatest common factor 520,821,499 is 1.
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 18/520, 73/821, 268/499?
Answer: LCM of Numerators as per given numbers 18/520, 73/821, 268/499 is
LCM of Numerators i.e. for 18,73,268 is 176076
GCF of denominators i.e. for 520,821,499 is 1.
Thus, LCM of Fractions is 176076.Finally, LCM of Fractions for 18/520, 73/821, 268/499 is 176076.