Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 721/82, 359/4018 quickly i.e. 258839/82 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 721/82, 359/4018 is 258839/82.
LCM(721/82, 359/4018) = 258839/82
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 721/82,359/4018
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 721,359
Least Common Multiple of Numerators i.e. LCM of 721,359 is 258839.
GCF of Denominators means GCF of 82,4018 as per the given fractions.
GCF of 82,4018 is 82 as it is the largest common factor for these numbers.
Lets's calculate LCM of 721,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 258839
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 721,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,359) x common factors =1 x 1 = 1
LCM(721,359) = ( 721 × 359 ) / 1
LCM(721,359) = 258839 / 1
LCM(721,359) = 258839
Lets's calculate GCF of 82,4018
2 | 82, 4018 |
41 | 41, 2009 |
1, 49 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258839/82
Therefore the LCM of Fractions 721/82,359/4018 is 258839/82
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 4018
List of positive integer factors of 4018 that divides 4018 without a remainder.
1,2,7,14,41,49,82,98,287,574,2009,4018
Greatest Common Factor
We found the factors 82,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4018 is 82.
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 721/82, 359/4018?
Answer: LCM of Numerators as per given numbers 721/82, 359/4018 is
LCM of Numerators i.e. for 721,359 is 258839
GCF of denominators i.e. for 82,4018 is 82.
Thus, LCM of Fractions is 258839/82.Finally, LCM of Fractions for 721/82, 359/4018 is 258839/82.