Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/168, 36/738, 575/618 quickly i.e. 65550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/168, 36/738, 575/618 is 65550.
LCM(57/168, 36/738, 575/618) = 65550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/168,36/738,575/618
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 57,36,575
Least Common Multiple of Numerators i.e. LCM of 57,36,575 is 393300.
GCF of Denominators means GCF of 168,738,618 as per the given fractions.
GCF of 168,738,618 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,36,575
3 | 57, 36, 575 |
19, 12, 575 |
∴ So the LCM of the given numbers is 3 x 19 x 12 x 575 = 393300
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 57,36,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,36,575) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,36,575) x common factors =1 x 3 = 3
LCM(57,36,575) = ( 57 × 36 × 575 ) / 3
LCM(57,36,575) = 1179900 / 3
LCM(57,36,575) = 393300
Lets's calculate GCF of 168,738,618
2 | 168, 738, 618 |
3 | 84, 369, 309 |
28, 123, 103 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393300/6
Therefore the LCM of Fractions 57/168,36/738,575/618 is 65550
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
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 168,738,618 . The biggest common factor number is the GCF number.
So the greatest common factor 168,738,618 is 6.
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 57/168, 36/738, 575/618?
Answer: LCM of Numerators as per given numbers 57/168, 36/738, 575/618 is
LCM of Numerators i.e. for 57,36,575 is 393300
GCF of denominators i.e. for 168,738,618 is 6.
Thus, LCM of Fractions is 65550.Finally, LCM of Fractions for 57/168, 36/738, 575/618 is 65550.