Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 588/515, 470/905 quickly i.e. 27636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 588/515, 470/905 is 27636.
LCM(588/515, 470/905) = 27636
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 588/515,470/905
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 588,470
Least Common Multiple of Numerators i.e. LCM of 588,470 is 138180.
GCF of Denominators means GCF of 515,905 as per the given fractions.
GCF of 515,905 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 588,470
2 | 588, 470 |
294, 235 |
∴ So the LCM of the given numbers is 2 x 294 x 235 = 138180
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 588,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(588,470) x common factors =2 x 1 = 2
LCM(588,470) = ( 588 × 470 ) / 2
LCM(588,470) = 276360 / 2
LCM(588,470) = 138180
Lets's calculate GCF of 515,905
5 | 515, 905 |
103, 181 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138180/5
Therefore the LCM of Fractions 588/515,470/905 is 27636
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 515,905 . The biggest common factor number is the GCF number.
So the greatest common factor 515,905 is 5.
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 588/515, 470/905?
Answer: LCM of Numerators as per given numbers 588/515, 470/905 is
LCM of Numerators i.e. for 588,470 is 138180
GCF of denominators i.e. for 515,905 is 5.
Thus, LCM of Fractions is 27636.Finally, LCM of Fractions for 588/515, 470/905 is 27636.