Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/886, 908/589, 477/783 quickly i.e. 12560364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/886, 908/589, 477/783 is 12560364.
LCM(87/886, 908/589, 477/783) = 12560364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/886,908/589,477/783
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 87,908,477
Least Common Multiple of Numerators i.e. LCM of 87,908,477 is 12560364.
GCF of Denominators means GCF of 886,589,783 as per the given fractions.
GCF of 886,589,783 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,908,477
3 | 87, 908, 477 |
29, 908, 159 |
∴ So the LCM of the given numbers is 3 x 29 x 908 x 159 = 12560364
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 87,908,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,908,477) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,908,477) x common factors =1 x 3 = 3
LCM(87,908,477) = ( 87 × 908 × 477 ) / 3
LCM(87,908,477) = 37681092 / 3
LCM(87,908,477) = 12560364
Lets's calculate GCF of 886,589,783
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12560364/1
Therefore the LCM of Fractions 87/886,908/589,477/783 is 12560364
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 886,589,783 . The biggest common factor number is the GCF number.
So the greatest common factor 886,589,783 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 87/886, 908/589, 477/783?
Answer: LCM of Numerators as per given numbers 87/886, 908/589, 477/783 is
LCM of Numerators i.e. for 87,908,477 is 12560364
GCF of denominators i.e. for 886,589,783 is 1.
Thus, LCM of Fractions is 12560364.Finally, LCM of Fractions for 87/886, 908/589, 477/783 is 12560364.