Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/545, 36/825, 570/618 quickly i.e. 99180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/545, 36/825, 570/618 is 99180.
LCM(29/545, 36/825, 570/618) = 99180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/545,36/825,570/618
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 29,36,570
Least Common Multiple of Numerators i.e. LCM of 29,36,570 is 99180.
GCF of Denominators means GCF of 545,825,618 as per the given fractions.
GCF of 545,825,618 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,36,570
2 | 29, 36, 570 |
3 | 29, 18, 285 |
29, 6, 95 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 6 x 95 = 99180
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 29,36,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,36,570) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(29,36,570) x common factors =1 x 6 = 6
LCM(29,36,570) = ( 29 × 36 × 570 ) / 6
LCM(29,36,570) = 595080 / 6
LCM(29,36,570) = 99180
Lets's calculate GCF of 545,825,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99180/1
Therefore the LCM of Fractions 29/545,36/825,570/618 is 99180
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 545,825,618 . The biggest common factor number is the GCF number.
So the greatest common factor 545,825,618 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 29/545, 36/825, 570/618?
Answer: LCM of Numerators as per given numbers 29/545, 36/825, 570/618 is
LCM of Numerators i.e. for 29,36,570 is 99180
GCF of denominators i.e. for 545,825,618 is 1.
Thus, LCM of Fractions is 99180.Finally, LCM of Fractions for 29/545, 36/825, 570/618 is 99180.