Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 214/14, 798/5809 quickly i.e. 85386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 214/14, 798/5809 is 85386.
LCM(214/14, 798/5809) = 85386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 214/14,798/5809
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 214,798
Least Common Multiple of Numerators i.e. LCM of 214,798 is 85386.
GCF of Denominators means GCF of 14,5809 as per the given fractions.
GCF of 14,5809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 214,798
2 | 214, 798 |
107, 399 |
∴ So the LCM of the given numbers is 2 x 107 x 399 = 85386
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 214,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,798) x common factors =2 x 1 = 2
LCM(214,798) = ( 214 × 798 ) / 2
LCM(214,798) = 170772 / 2
LCM(214,798) = 85386
Lets's calculate GCF of 14,5809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85386/1
Therefore the LCM of Fractions 214/14,798/5809 is 85386
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 5809
List of positive integer factors of 5809 that divides 5809 without a remainder.
1,37,157,5809
Greatest Common Factor
We found the factors 14,5809 . The biggest common factor number is the GCF number.
So the greatest common factor 14,5809 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 214/14, 798/5809?
Answer: LCM of Numerators as per given numbers 214/14, 798/5809 is
LCM of Numerators i.e. for 214,798 is 85386
GCF of denominators i.e. for 14,5809 is 1.
Thus, LCM of Fractions is 85386.Finally, LCM of Fractions for 214/14, 798/5809 is 85386.