Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/834, 530/592, 615/934 quickly i.e. 65190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/834, 530/592, 615/934 is 65190.
LCM(20/834, 530/592, 615/934) = 65190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/834,530/592,615/934
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 20,530,615
Least Common Multiple of Numerators i.e. LCM of 20,530,615 is 130380.
GCF of Denominators means GCF of 834,592,934 as per the given fractions.
GCF of 834,592,934 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,530,615
2 | 20, 530, 615 |
5 | 10, 265, 615 |
2, 53, 123 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 53 x 123 = 130380
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 20,530,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,530,615) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(20,530,615) x common factors =5 x 10 = 50
LCM(20,530,615) = ( 20 × 530 × 615 ) / 50
LCM(20,530,615) = 6519000 / 50
LCM(20,530,615) = 130380
Lets's calculate GCF of 834,592,934
2 | 834, 592, 934 |
417, 296, 467 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130380/2
Therefore the LCM of Fractions 20/834,530/592,615/934 is 65190
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 834,592,934 . The biggest common factor number is the GCF number.
So the greatest common factor 834,592,934 is 2.
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 20/834, 530/592, 615/934?
Answer: LCM of Numerators as per given numbers 20/834, 530/592, 615/934 is
LCM of Numerators i.e. for 20,530,615 is 130380
GCF of denominators i.e. for 834,592,934 is 2.
Thus, LCM of Fractions is 65190.Finally, LCM of Fractions for 20/834, 530/592, 615/934 is 65190.