Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/250, 673/664, 592/229 quickly i.e. 11554064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/250, 673/664, 592/229 is 11554064.
LCM(58/250, 673/664, 592/229) = 11554064
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/250,673/664,592/229
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 58,673,592
Least Common Multiple of Numerators i.e. LCM of 58,673,592 is 11554064.
GCF of Denominators means GCF of 250,664,229 as per the given fractions.
GCF of 250,664,229 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,673,592
2 | 58, 673, 592 |
29, 673, 296 |
∴ So the LCM of the given numbers is 2 x 29 x 673 x 296 = 11554064
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 58,673,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,673,592) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,673,592) x common factors =1 x 2 = 2
LCM(58,673,592) = ( 58 × 673 × 592 ) / 2
LCM(58,673,592) = 23108128 / 2
LCM(58,673,592) = 11554064
Lets's calculate GCF of 250,664,229
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11554064/1
Therefore the LCM of Fractions 58/250,673/664,592/229 is 11554064
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Greatest Common Factor
We found the factors 250,664,229 . The biggest common factor number is the GCF number.
So the greatest common factor 250,664,229 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 58/250, 673/664, 592/229?
Answer: LCM of Numerators as per given numbers 58/250, 673/664, 592/229 is
LCM of Numerators i.e. for 58,673,592 is 11554064
GCF of denominators i.e. for 250,664,229 is 1.
Thus, LCM of Fractions is 11554064.Finally, LCM of Fractions for 58/250, 673/664, 592/229 is 11554064.