Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 606/738, 5691/723 quickly i.e. 383194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 606/738, 5691/723 is 383194.
LCM(606/738, 5691/723) = 383194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 606/738,5691/723
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 606,5691
Least Common Multiple of Numerators i.e. LCM of 606,5691 is 1149582.
GCF of Denominators means GCF of 738,723 as per the given fractions.
GCF of 738,723 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 606,5691
3 | 606, 5691 |
202, 1897 |
∴ So the LCM of the given numbers is 3 x 202 x 1897 = 1149582
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 606,5691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,5691) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(606,5691) x common factors =3 x 1 = 3
LCM(606,5691) = ( 606 × 5691 ) / 3
LCM(606,5691) = 3448746 / 3
LCM(606,5691) = 1149582
Lets's calculate GCF of 738,723
3 | 738, 723 |
246, 241 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1149582/3
Therefore the LCM of Fractions 606/738,5691/723 is 383194
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
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 738,723 . The biggest common factor number is the GCF number.
So the greatest common factor 738,723 is 3.
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 606/738, 5691/723?
Answer: LCM of Numerators as per given numbers 606/738, 5691/723 is
LCM of Numerators i.e. for 606,5691 is 1149582
GCF of denominators i.e. for 738,723 is 3.
Thus, LCM of Fractions is 383194.Finally, LCM of Fractions for 606/738, 5691/723 is 383194.