Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 588/37, 150/52, 797/37 quickly i.e. 11715900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 588/37, 150/52, 797/37 is 11715900.
LCM(588/37, 150/52, 797/37) = 11715900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 588/37,150/52,797/37
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 588,150,797
Least Common Multiple of Numerators i.e. LCM of 588,150,797 is 11715900.
GCF of Denominators means GCF of 37,52,37 as per the given fractions.
GCF of 37,52,37 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 588,150,797
2 | 588, 150, 797 |
3 | 294, 75, 797 |
98, 25, 797 |
∴ So the LCM of the given numbers is 2 x 3 x 98 x 25 x 797 = 11715900
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 588,150,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,150,797) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(588,150,797) x common factors =1 x 6 = 6
LCM(588,150,797) = ( 588 × 150 × 797 ) / 6
LCM(588,150,797) = 70295400 / 6
LCM(588,150,797) = 11715900
Lets's calculate GCF of 37,52,37
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11715900/1
Therefore the LCM of Fractions 588/37,150/52,797/37 is 11715900
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Greatest Common Factor
We found the factors 37,52,37 . The biggest common factor number is the GCF number.
So the greatest common factor 37,52,37 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 588/37, 150/52, 797/37?
Answer: LCM of Numerators as per given numbers 588/37, 150/52, 797/37 is
LCM of Numerators i.e. for 588,150,797 is 11715900
GCF of denominators i.e. for 37,52,37 is 1.
Thus, LCM of Fractions is 11715900.Finally, LCM of Fractions for 588/37, 150/52, 797/37 is 11715900.