Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4588/42, 5704/368 quickly i.e. 105524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4588/42, 5704/368 is 105524.
LCM(4588/42, 5704/368) = 105524
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4588/42,5704/368
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 4588,5704
Least Common Multiple of Numerators i.e. LCM of 4588,5704 is 211048.
GCF of Denominators means GCF of 42,368 as per the given fractions.
GCF of 42,368 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4588,5704
2 | 4588, 5704 |
2 | 2294, 2852 |
31 | 1147, 1426 |
37, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 37 x 46 = 211048
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 4588,5704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4588,5704) = 124
common factors(in case of two or more numbers have common factors) = 1
GCF(4588,5704) x common factors =124 x 1 = 124
LCM(4588,5704) = ( 4588 × 5704 ) / 124
LCM(4588,5704) = 26169952 / 124
LCM(4588,5704) = 211048
Lets's calculate GCF of 42,368
2 | 42, 368 |
21, 184 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211048/2
Therefore the LCM of Fractions 4588/42,5704/368 is 105524
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 42,368 . The biggest common factor number is the GCF number.
So the greatest common factor 42,368 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 4588/42, 5704/368?
Answer: LCM of Numerators as per given numbers 4588/42, 5704/368 is
LCM of Numerators i.e. for 4588,5704 is 211048
GCF of denominators i.e. for 42,368 is 2.
Thus, LCM of Fractions is 105524.Finally, LCM of Fractions for 4588/42, 5704/368 is 105524.