Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/585, 81/577, 989/324 quickly i.e. 4486104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/585, 81/577, 989/324 is 4486104.
LCM(56/585, 81/577, 989/324) = 4486104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/585,81/577,989/324
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 56,81,989
Least Common Multiple of Numerators i.e. LCM of 56,81,989 is 4486104.
GCF of Denominators means GCF of 585,577,324 as per the given fractions.
GCF of 585,577,324 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,81,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 4486104
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 56,81,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,81,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,81,989) x common factors =1 x 1 = 1
LCM(56,81,989) = ( 56 × 81 × 989 ) / 1
LCM(56,81,989) = 4486104 / 1
LCM(56,81,989) = 4486104
Lets's calculate GCF of 585,577,324
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4486104/1
Therefore the LCM of Fractions 56/585,81/577,989/324 is 4486104
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 585,577,324 . The biggest common factor number is the GCF number.
So the greatest common factor 585,577,324 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 56/585, 81/577, 989/324?
Answer: LCM of Numerators as per given numbers 56/585, 81/577, 989/324 is
LCM of Numerators i.e. for 56,81,989 is 4486104
GCF of denominators i.e. for 585,577,324 is 1.
Thus, LCM of Fractions is 4486104.Finally, LCM of Fractions for 56/585, 81/577, 989/324 is 4486104.