Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 726/50, 4337/674 quickly i.e. 1574331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 726/50, 4337/674 is 1574331.
LCM(726/50, 4337/674) = 1574331
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 726/50,4337/674
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 726,4337
Least Common Multiple of Numerators i.e. LCM of 726,4337 is 3148662.
GCF of Denominators means GCF of 50,674 as per the given fractions.
GCF of 50,674 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 726,4337
Given numbers has no common factors except 1. So, there LCM is their product i.e 3148662
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 726,4337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,4337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(726,4337) x common factors =1 x 1 = 1
LCM(726,4337) = ( 726 × 4337 ) / 1
LCM(726,4337) = 3148662 / 1
LCM(726,4337) = 3148662
Lets's calculate GCF of 50,674
2 | 50, 674 |
25, 337 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3148662/2
Therefore the LCM of Fractions 726/50,4337/674 is 1574331
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 50,674 . The biggest common factor number is the GCF number.
So the greatest common factor 50,674 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 726/50, 4337/674?
Answer: LCM of Numerators as per given numbers 726/50, 4337/674 is
LCM of Numerators i.e. for 726,4337 is 3148662
GCF of denominators i.e. for 50,674 is 2.
Thus, LCM of Fractions is 1574331.Finally, LCM of Fractions for 726/50, 4337/674 is 1574331.