Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/26, 388/66, 744/212 quickly i.e. 613428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/26, 388/66, 744/212 is 613428.
LCM(17/26, 388/66, 744/212) = 613428
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/26,388/66,744/212
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 17,388,744
Least Common Multiple of Numerators i.e. LCM of 17,388,744 is 1226856.
GCF of Denominators means GCF of 26,66,212 as per the given fractions.
GCF of 26,66,212 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,388,744
2 | 17, 388, 744 |
2 | 17, 194, 372 |
17, 97, 186 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 97 x 186 = 1226856
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 17,388,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,388,744) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(17,388,744) x common factors =1 x 4 = 4
LCM(17,388,744) = ( 17 × 388 × 744 ) / 4
LCM(17,388,744) = 4907424 / 4
LCM(17,388,744) = 1226856
Lets's calculate GCF of 26,66,212
2 | 26, 66, 212 |
13, 33, 106 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1226856/2
Therefore the LCM of Fractions 17/26,388/66,744/212 is 613428
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 26,66,212 . The biggest common factor number is the GCF number.
So the greatest common factor 26,66,212 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 17/26, 388/66, 744/212?
Answer: LCM of Numerators as per given numbers 17/26, 388/66, 744/212 is
LCM of Numerators i.e. for 17,388,744 is 1226856
GCF of denominators i.e. for 26,66,212 is 2.
Thus, LCM of Fractions is 613428.Finally, LCM of Fractions for 17/26, 388/66, 744/212 is 613428.