Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 692/19, 413/4463 quickly i.e. 285796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 692/19, 413/4463 is 285796.
LCM(692/19, 413/4463) = 285796
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 692/19,413/4463
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 692,413
Least Common Multiple of Numerators i.e. LCM of 692,413 is 285796.
GCF of Denominators means GCF of 19,4463 as per the given fractions.
GCF of 19,4463 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 692,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 285796
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 692,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,413) x common factors =1 x 1 = 1
LCM(692,413) = ( 692 × 413 ) / 1
LCM(692,413) = 285796 / 1
LCM(692,413) = 285796
Lets's calculate GCF of 19,4463
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285796/1
Therefore the LCM of Fractions 692/19,413/4463 is 285796
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 4463
List of positive integer factors of 4463 that divides 4463 without a remainder.
1,4463
Greatest Common Factor
We found the factors 19,4463 . The biggest common factor number is the GCF number.
So the greatest common factor 19,4463 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 692/19, 413/4463?
Answer: LCM of Numerators as per given numbers 692/19, 413/4463 is
LCM of Numerators i.e. for 692,413 is 285796
GCF of denominators i.e. for 19,4463 is 1.
Thus, LCM of Fractions is 285796.Finally, LCM of Fractions for 692/19, 413/4463 is 285796.