Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 198/403, 747/465 quickly i.e. 16434/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 198/403, 747/465 is 16434/31.
LCM(198/403, 747/465) = 16434/31
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 198/403,747/465
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 198,747
Least Common Multiple of Numerators i.e. LCM of 198,747 is 16434.
GCF of Denominators means GCF of 403,465 as per the given fractions.
GCF of 403,465 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 198,747
3 | 198, 747 |
3 | 66, 249 |
22, 83 |
∴ So the LCM of the given numbers is 3 x 3 x 22 x 83 = 16434
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 198,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,747) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(198,747) x common factors =9 x 1 = 9
LCM(198,747) = ( 198 × 747 ) / 9
LCM(198,747) = 147906 / 9
LCM(198,747) = 16434
Lets's calculate GCF of 403,465
31 | 403, 465 |
13, 15 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16434/31
Therefore the LCM of Fractions 198/403,747/465 is 16434/31
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 403,465 . The biggest common factor number is the GCF number.
So the greatest common factor 403,465 is 31.
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 198/403, 747/465?
Answer: LCM of Numerators as per given numbers 198/403, 747/465 is
LCM of Numerators i.e. for 198,747 is 16434
GCF of denominators i.e. for 403,465 is 31.
Thus, LCM of Fractions is 16434/31.Finally, LCM of Fractions for 198/403, 747/465 is 16434/31.