Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 626/17, 313/33, 927/723 quickly i.e. 580302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 626/17, 313/33, 927/723 is 580302.
LCM(626/17, 313/33, 927/723) = 580302
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 626/17,313/33,927/723
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 626,313,927
Least Common Multiple of Numerators i.e. LCM of 626,313,927 is 580302.
GCF of Denominators means GCF of 17,33,723 as per the given fractions.
GCF of 17,33,723 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 626,313,927
313 | 626, 313, 927 |
2, 1, 927 |
∴ So the LCM of the given numbers is 313 x 2 x 1 x 927 = 580302
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 626,313,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,313,927) = 1
common factors(in case of two or more numbers have common factors) = 313
GCF(626,313,927) x common factors =1 x 313 = 313
LCM(626,313,927) = ( 626 × 313 × 927 ) / 313
LCM(626,313,927) = 181634526 / 313
LCM(626,313,927) = 580302
Lets's calculate GCF of 17,33,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580302/1
Therefore the LCM of Fractions 626/17,313/33,927/723 is 580302
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 17,33,723 . The biggest common factor number is the GCF number.
So the greatest common factor 17,33,723 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 626/17, 313/33, 927/723?
Answer: LCM of Numerators as per given numbers 626/17, 313/33, 927/723 is
LCM of Numerators i.e. for 626,313,927 is 580302
GCF of denominators i.e. for 17,33,723 is 1.
Thus, LCM of Fractions is 580302.Finally, LCM of Fractions for 626/17, 313/33, 927/723 is 580302.