Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3319/59, 1795/620 quickly i.e. 5957605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3319/59, 1795/620 is 5957605.
LCM(3319/59, 1795/620) = 5957605
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3319/59,1795/620
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 3319,1795
Least Common Multiple of Numerators i.e. LCM of 3319,1795 is 5957605.
GCF of Denominators means GCF of 59,620 as per the given fractions.
GCF of 59,620 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3319,1795
Given numbers has no common factors except 1. So, there LCM is their product i.e 5957605
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 3319,1795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3319,1795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3319,1795) x common factors =1 x 1 = 1
LCM(3319,1795) = ( 3319 × 1795 ) / 1
LCM(3319,1795) = 5957605 / 1
LCM(3319,1795) = 5957605
Lets's calculate GCF of 59,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5957605/1
Therefore the LCM of Fractions 3319/59,1795/620 is 5957605
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 59,620 . The biggest common factor number is the GCF number.
So the greatest common factor 59,620 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 3319/59, 1795/620?
Answer: LCM of Numerators as per given numbers 3319/59, 1795/620 is
LCM of Numerators i.e. for 3319,1795 is 5957605
GCF of denominators i.e. for 59,620 is 1.
Thus, LCM of Fractions is 5957605.Finally, LCM of Fractions for 3319/59, 1795/620 is 5957605.