Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1601/17, 2053/463 quickly i.e. 3286853 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1601/17, 2053/463 is 3286853.
LCM(1601/17, 2053/463) = 3286853
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1601/17,2053/463
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 1601,2053
Least Common Multiple of Numerators i.e. LCM of 1601,2053 is 3286853.
GCF of Denominators means GCF of 17,463 as per the given fractions.
GCF of 17,463 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1601,2053
Given numbers has no common factors except 1. So, there LCM is their product i.e 3286853
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 1601,2053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1601,2053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1601,2053) x common factors =1 x 1 = 1
LCM(1601,2053) = ( 1601 × 2053 ) / 1
LCM(1601,2053) = 3286853 / 1
LCM(1601,2053) = 3286853
Lets's calculate GCF of 17,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3286853/1
Therefore the LCM of Fractions 1601/17,2053/463 is 3286853
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 17,463 . The biggest common factor number is the GCF number.
So the greatest common factor 17,463 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 1601/17, 2053/463?
Answer: LCM of Numerators as per given numbers 1601/17, 2053/463 is
LCM of Numerators i.e. for 1601,2053 is 3286853
GCF of denominators i.e. for 17,463 is 1.
Thus, LCM of Fractions is 3286853.Finally, LCM of Fractions for 1601/17, 2053/463 is 3286853.