Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/57, 15/17, 25/52, 75/576 quickly i.e. 5550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/57, 15/17, 25/52, 75/576 is 5550.
LCM(74/57, 15/17, 25/52, 75/576) = 5550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/57,15/17,25/52,75/576
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 74,15,25,75
Least Common Multiple of Numerators i.e. LCM of 74,15,25,75 is 5550.
GCF of Denominators means GCF of 57,17,52,576 as per the given fractions.
GCF of 57,17,52,576 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,15,25,75
3 | 74, 15, 25, 75 |
5 | 74, 5, 25, 25 |
5 | 74, 1, 5, 5 |
74, 1, 1, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 74 x 1 x 1 x 1 = 5550
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 74,15,25,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,15,25,75) = 1
common factors(in case of two or more numbers have common factors) = 375
GCF(74,15,25,75) x common factors =1 x 375 = 375
LCM(74,15,25,75) = ( 74 × 15 × 25 × 75 ) / 375
LCM(74,15,25,75) = 2081250 / 375
LCM(74,15,25,75) = 5550
Lets's calculate GCF of 57,17,52,576
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5550/1
Therefore the LCM of Fractions 74/57,15/17,25/52,75/576 is 5550
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 57,17,52,576 . The biggest common factor number is the GCF number.
So the greatest common factor 57,17,52,576 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 74/57, 15/17, 25/52, 75/576?
Answer: LCM of Numerators as per given numbers 74/57, 15/17, 25/52, 75/576 is
LCM of Numerators i.e. for 74,15,25,75 is 5550
GCF of denominators i.e. for 57,17,52,576 is 1.
Thus, LCM of Fractions is 5550.Finally, LCM of Fractions for 74/57, 15/17, 25/52, 75/576 is 5550.