Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/55, 68/59, 26/28, 16/611 quickly i.e. 38896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/55, 68/59, 26/28, 16/611 is 38896.
LCM(11/55, 68/59, 26/28, 16/611) = 38896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/55,68/59,26/28,16/611
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 11,68,26,16
Least Common Multiple of Numerators i.e. LCM of 11,68,26,16 is 38896.
GCF of Denominators means GCF of 55,59,28,611 as per the given fractions.
GCF of 55,59,28,611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,68,26,16
2 | 11, 68, 26, 16 |
2 | 11, 34, 13, 8 |
11, 17, 13, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 13 x 4 = 38896
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 11,68,26,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,68,26,16) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(11,68,26,16) x common factors =1 x 8 = 8
LCM(11,68,26,16) = ( 11 × 68 × 26 × 16 ) / 8
LCM(11,68,26,16) = 311168 / 8
LCM(11,68,26,16) = 38896
Lets's calculate GCF of 55,59,28,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38896/1
Therefore the LCM of Fractions 11/55,68/59,26/28,16/611 is 38896
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 55,59,28,611 . The biggest common factor number is the GCF number.
So the greatest common factor 55,59,28,611 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 11/55, 68/59, 26/28, 16/611?
Answer: LCM of Numerators as per given numbers 11/55, 68/59, 26/28, 16/611 is
LCM of Numerators i.e. for 11,68,26,16 is 38896
GCF of denominators i.e. for 55,59,28,611 is 1.
Thus, LCM of Fractions is 38896.Finally, LCM of Fractions for 11/55, 68/59, 26/28, 16/611 is 38896.