Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/89, 57/52, 93/36, 26/385 quickly i.e. 1148550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/89, 57/52, 93/36, 26/385 is 1148550.
LCM(50/89, 57/52, 93/36, 26/385) = 1148550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/89,57/52,93/36,26/385
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 50,57,93,26
Least Common Multiple of Numerators i.e. LCM of 50,57,93,26 is 1148550.
GCF of Denominators means GCF of 89,52,36,385 as per the given fractions.
GCF of 89,52,36,385 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,57,93,26
2 | 50, 57, 93, 26 |
3 | 25, 57, 93, 13 |
25, 19, 31, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 19 x 31 x 13 = 1148550
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 50,57,93,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,57,93,26) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(50,57,93,26) x common factors =1 x 6 = 6
LCM(50,57,93,26) = ( 50 × 57 × 93 × 26 ) / 6
LCM(50,57,93,26) = 6891300 / 6
LCM(50,57,93,26) = 1148550
Lets's calculate GCF of 89,52,36,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1148550/1
Therefore the LCM of Fractions 50/89,57/52,93/36,26/385 is 1148550
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 89,52,36,385 . The biggest common factor number is the GCF number.
So the greatest common factor 89,52,36,385 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 50/89, 57/52, 93/36, 26/385?
Answer: LCM of Numerators as per given numbers 50/89, 57/52, 93/36, 26/385 is
LCM of Numerators i.e. for 50,57,93,26 is 1148550
GCF of denominators i.e. for 89,52,36,385 is 1.
Thus, LCM of Fractions is 1148550.Finally, LCM of Fractions for 50/89, 57/52, 93/36, 26/385 is 1148550.