Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/933, 36/515, 208/587 quickly i.e. 1872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/933, 36/515, 208/587 is 1872.
LCM(26/933, 36/515, 208/587) = 1872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/933,36/515,208/587
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 26,36,208
Least Common Multiple of Numerators i.e. LCM of 26,36,208 is 1872.
GCF of Denominators means GCF of 933,515,587 as per the given fractions.
GCF of 933,515,587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,36,208
2 | 26, 36, 208 |
2 | 13, 18, 104 |
13 | 13, 9, 52 |
1, 9, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 9 x 4 = 1872
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 26,36,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,36,208) = 2
common factors(in case of two or more numbers have common factors) = 52
GCF(26,36,208) x common factors =2 x 52 = 104
LCM(26,36,208) = ( 26 × 36 × 208 ) / 104
LCM(26,36,208) = 194688 / 104
LCM(26,36,208) = 1872
Lets's calculate GCF of 933,515,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1872/1
Therefore the LCM of Fractions 26/933,36/515,208/587 is 1872
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 933,515,587 . The biggest common factor number is the GCF number.
So the greatest common factor 933,515,587 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 26/933, 36/515, 208/587?
Answer: LCM of Numerators as per given numbers 26/933, 36/515, 208/587 is
LCM of Numerators i.e. for 26,36,208 is 1872
GCF of denominators i.e. for 933,515,587 is 1.
Thus, LCM of Fractions is 1872.Finally, LCM of Fractions for 26/933, 36/515, 208/587 is 1872.