Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 433/674, 8606/4728 quickly i.e. 1863199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 433/674, 8606/4728 is 1863199.
LCM(433/674, 8606/4728) = 1863199
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 433/674,8606/4728
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 433,8606
Least Common Multiple of Numerators i.e. LCM of 433,8606 is 3726398.
GCF of Denominators means GCF of 674,4728 as per the given fractions.
GCF of 674,4728 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 433,8606
Given numbers has no common factors except 1. So, there LCM is their product i.e 3726398
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 433,8606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,8606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,8606) x common factors =1 x 1 = 1
LCM(433,8606) = ( 433 × 8606 ) / 1
LCM(433,8606) = 3726398 / 1
LCM(433,8606) = 3726398
Lets's calculate GCF of 674,4728
2 | 674, 4728 |
337, 2364 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3726398/2
Therefore the LCM of Fractions 433/674,8606/4728 is 1863199
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 4728
List of positive integer factors of 4728 that divides 4728 without a remainder.
1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Greatest Common Factor
We found the factors 674,4728 . The biggest common factor number is the GCF number.
So the greatest common factor 674,4728 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 433/674, 8606/4728?
Answer: LCM of Numerators as per given numbers 433/674, 8606/4728 is
LCM of Numerators i.e. for 433,8606 is 3726398
GCF of denominators i.e. for 674,4728 is 2.
Thus, LCM of Fractions is 1863199.Finally, LCM of Fractions for 433/674, 8606/4728 is 1863199.