Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 566/40, 5739/574 quickly i.e. 1624137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 566/40, 5739/574 is 1624137.
LCM(566/40, 5739/574) = 1624137
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 566/40,5739/574
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 566,5739
Least Common Multiple of Numerators i.e. LCM of 566,5739 is 3248274.
GCF of Denominators means GCF of 40,574 as per the given fractions.
GCF of 40,574 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 566,5739
Given numbers has no common factors except 1. So, there LCM is their product i.e 3248274
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 566,5739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,5739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,5739) x common factors =1 x 1 = 1
LCM(566,5739) = ( 566 × 5739 ) / 1
LCM(566,5739) = 3248274 / 1
LCM(566,5739) = 3248274
Lets's calculate GCF of 40,574
2 | 40, 574 |
20, 287 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3248274/2
Therefore the LCM of Fractions 566/40,5739/574 is 1624137
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 40,574 . The biggest common factor number is the GCF number.
So the greatest common factor 40,574 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 566/40, 5739/574?
Answer: LCM of Numerators as per given numbers 566/40, 5739/574 is
LCM of Numerators i.e. for 566,5739 is 3248274
GCF of denominators i.e. for 40,574 is 2.
Thus, LCM of Fractions is 1624137.Finally, LCM of Fractions for 566/40, 5739/574 is 1624137.