Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/580, 24/964, 919/573 quickly i.e. 1962984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/580, 24/964, 919/573 is 1962984.
LCM(89/580, 24/964, 919/573) = 1962984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/580,24/964,919/573
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 89,24,919
Least Common Multiple of Numerators i.e. LCM of 89,24,919 is 1962984.
GCF of Denominators means GCF of 580,964,573 as per the given fractions.
GCF of 580,964,573 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,24,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 1962984
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 89,24,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,24,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,24,919) x common factors =1 x 1 = 1
LCM(89,24,919) = ( 89 × 24 × 919 ) / 1
LCM(89,24,919) = 1962984 / 1
LCM(89,24,919) = 1962984
Lets's calculate GCF of 580,964,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1962984/1
Therefore the LCM of Fractions 89/580,24/964,919/573 is 1962984
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Greatest Common Factor
We found the factors 580,964,573 . The biggest common factor number is the GCF number.
So the greatest common factor 580,964,573 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 89/580, 24/964, 919/573?
Answer: LCM of Numerators as per given numbers 89/580, 24/964, 919/573 is
LCM of Numerators i.e. for 89,24,919 is 1962984
GCF of denominators i.e. for 580,964,573 is 1.
Thus, LCM of Fractions is 1962984.Finally, LCM of Fractions for 89/580, 24/964, 919/573 is 1962984.