Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/487, 12/477, 71/520 quickly i.e. 2556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/487, 12/477, 71/520 is 2556.
LCM(9/487, 12/477, 71/520) = 2556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/487,12/477,71/520
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 9,12,71
Least Common Multiple of Numerators i.e. LCM of 9,12,71 is 2556.
GCF of Denominators means GCF of 487,477,520 as per the given fractions.
GCF of 487,477,520 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,12,71
3 | 9, 12, 71 |
3, 4, 71 |
∴ So the LCM of the given numbers is 3 x 3 x 4 x 71 = 2556
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 9,12,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,12,71) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(9,12,71) x common factors =1 x 3 = 3
LCM(9,12,71) = ( 9 × 12 × 71 ) / 3
LCM(9,12,71) = 7668 / 3
LCM(9,12,71) = 2556
Lets's calculate GCF of 487,477,520
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2556/1
Therefore the LCM of Fractions 9/487,12/477,71/520 is 2556
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
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
Greatest Common Factor
We found the factors 487,477,520 . The biggest common factor number is the GCF number.
So the greatest common factor 487,477,520 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 9/487, 12/477, 71/520?
Answer: LCM of Numerators as per given numbers 9/487, 12/477, 71/520 is
LCM of Numerators i.e. for 9,12,71 is 2556
GCF of denominators i.e. for 487,477,520 is 1.
Thus, LCM of Fractions is 2556.Finally, LCM of Fractions for 9/487, 12/477, 71/520 is 2556.