Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/57, 83/190, 11/608 quickly i.e. 4565/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/57, 83/190, 11/608 is 4565/19.
LCM(5/57, 83/190, 11/608) = 4565/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/57,83/190,11/608
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 5,83,11
Least Common Multiple of Numerators i.e. LCM of 5,83,11 is 4565.
GCF of Denominators means GCF of 57,190,608 as per the given fractions.
GCF of 57,190,608 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,83,11
Given numbers has no common factors except 1. So, there LCM is their product i.e 4565
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 5,83,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,83,11) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,83,11) x common factors =1 x 1 = 1
LCM(5,83,11) = ( 5 × 83 × 11 ) / 1
LCM(5,83,11) = 4565 / 1
LCM(5,83,11) = 4565
Lets's calculate GCF of 57,190,608
19 | 57, 190, 608 |
3, 10, 32 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4565/19
Therefore the LCM of Fractions 5/57,83/190,11/608 is 4565/19
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 57,190,608 . The biggest common factor number is the GCF number.
So the greatest common factor 57,190,608 is 19.
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 5/57, 83/190, 11/608?
Answer: LCM of Numerators as per given numbers 5/57, 83/190, 11/608 is
LCM of Numerators i.e. for 5,83,11 is 4565
GCF of denominators i.e. for 57,190,608 is 19.
Thus, LCM of Fractions is 4565/19.Finally, LCM of Fractions for 5/57, 83/190, 11/608 is 4565/19.