Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/73, 28/30, 774/574 quickly i.e. 205884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/73, 28/30, 774/574 is 205884.
LCM(57/73, 28/30, 774/574) = 205884
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/73,28/30,774/574
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 57,28,774
Least Common Multiple of Numerators i.e. LCM of 57,28,774 is 205884.
GCF of Denominators means GCF of 73,30,574 as per the given fractions.
GCF of 73,30,574 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,28,774
2 | 57, 28, 774 |
3 | 57, 14, 387 |
19, 14, 129 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 14 x 129 = 205884
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 57,28,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,28,774) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(57,28,774) x common factors =1 x 6 = 6
LCM(57,28,774) = ( 57 × 28 × 774 ) / 6
LCM(57,28,774) = 1235304 / 6
LCM(57,28,774) = 205884
Lets's calculate GCF of 73,30,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205884/1
Therefore the LCM of Fractions 57/73,28/30,774/574 is 205884
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 73,30,574 . The biggest common factor number is the GCF number.
So the greatest common factor 73,30,574 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 57/73, 28/30, 774/574?
Answer: LCM of Numerators as per given numbers 57/73, 28/30, 774/574 is
LCM of Numerators i.e. for 57,28,774 is 205884
GCF of denominators i.e. for 73,30,574 is 1.
Thus, LCM of Fractions is 205884.Finally, LCM of Fractions for 57/73, 28/30, 774/574 is 205884.