Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/58, 25/75, 89/57, 26/296 quickly i.e. 3066050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/58, 25/75, 89/57, 26/296 is 3066050.
LCM(53/58, 25/75, 89/57, 26/296) = 3066050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/58,25/75,89/57,26/296
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 53,25,89,26
Least Common Multiple of Numerators i.e. LCM of 53,25,89,26 is 3066050.
GCF of Denominators means GCF of 58,75,57,296 as per the given fractions.
GCF of 58,75,57,296 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,25,89,26
Given numbers has no common factors except 1. So, there LCM is their product i.e 3066050
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 53,25,89,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,25,89,26) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,25,89,26) x common factors =1 x 1 = 1
LCM(53,25,89,26) = ( 53 × 25 × 89 × 26 ) / 1
LCM(53,25,89,26) = 3066050 / 1
LCM(53,25,89,26) = 3066050
Lets's calculate GCF of 58,75,57,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3066050/1
Therefore the LCM of Fractions 53/58,25/75,89/57,26/296 is 3066050
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 58,75,57,296 . The biggest common factor number is the GCF number.
So the greatest common factor 58,75,57,296 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 53/58, 25/75, 89/57, 26/296?
Answer: LCM of Numerators as per given numbers 53/58, 25/75, 89/57, 26/296 is
LCM of Numerators i.e. for 53,25,89,26 is 3066050
GCF of denominators i.e. for 58,75,57,296 is 1.
Thus, LCM of Fractions is 3066050.Finally, LCM of Fractions for 53/58, 25/75, 89/57, 26/296 is 3066050.