Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/590, 241/557, 558/160 quickly i.e. 672390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/590, 241/557, 558/160 is 672390.
LCM(30/590, 241/557, 558/160) = 672390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/590,241/557,558/160
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 30,241,558
Least Common Multiple of Numerators i.e. LCM of 30,241,558 is 672390.
GCF of Denominators means GCF of 590,557,160 as per the given fractions.
GCF of 590,557,160 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,241,558
2 | 30, 241, 558 |
3 | 15, 241, 279 |
5, 241, 93 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 241 x 93 = 672390
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 30,241,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,241,558) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(30,241,558) x common factors =1 x 6 = 6
LCM(30,241,558) = ( 30 × 241 × 558 ) / 6
LCM(30,241,558) = 4034340 / 6
LCM(30,241,558) = 672390
Lets's calculate GCF of 590,557,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672390/1
Therefore the LCM of Fractions 30/590,241/557,558/160 is 672390
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 590,557,160 . The biggest common factor number is the GCF number.
So the greatest common factor 590,557,160 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 30/590, 241/557, 558/160?
Answer: LCM of Numerators as per given numbers 30/590, 241/557, 558/160 is
LCM of Numerators i.e. for 30,241,558 is 672390
GCF of denominators i.e. for 590,557,160 is 1.
Thus, LCM of Fractions is 672390.Finally, LCM of Fractions for 30/590, 241/557, 558/160 is 672390.