Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/591, 373/220, 731/285 quickly i.e. 23994344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/591, 373/220, 731/285 is 23994344.
LCM(88/591, 373/220, 731/285) = 23994344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/591,373/220,731/285
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 88,373,731
Least Common Multiple of Numerators i.e. LCM of 88,373,731 is 23994344.
GCF of Denominators means GCF of 591,220,285 as per the given fractions.
GCF of 591,220,285 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,373,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 23994344
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 88,373,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,373,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,373,731) x common factors =1 x 1 = 1
LCM(88,373,731) = ( 88 × 373 × 731 ) / 1
LCM(88,373,731) = 23994344 / 1
LCM(88,373,731) = 23994344
Lets's calculate GCF of 591,220,285
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23994344/1
Therefore the LCM of Fractions 88/591,373/220,731/285 is 23994344
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 591,220,285 . The biggest common factor number is the GCF number.
So the greatest common factor 591,220,285 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 88/591, 373/220, 731/285?
Answer: LCM of Numerators as per given numbers 88/591, 373/220, 731/285 is
LCM of Numerators i.e. for 88,373,731 is 23994344
GCF of denominators i.e. for 591,220,285 is 1.
Thus, LCM of Fractions is 23994344.Finally, LCM of Fractions for 88/591, 373/220, 731/285 is 23994344.