Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3641/605, 7888/7439 quickly i.e. 28720208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3641/605, 7888/7439 is 28720208.
LCM(3641/605, 7888/7439) = 28720208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3641/605,7888/7439
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 3641,7888
Least Common Multiple of Numerators i.e. LCM of 3641,7888 is 28720208.
GCF of Denominators means GCF of 605,7439 as per the given fractions.
GCF of 605,7439 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3641,7888
Given numbers has no common factors except 1. So, there LCM is their product i.e 28720208
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 3641,7888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3641,7888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3641,7888) x common factors =1 x 1 = 1
LCM(3641,7888) = ( 3641 × 7888 ) / 1
LCM(3641,7888) = 28720208 / 1
LCM(3641,7888) = 28720208
Lets's calculate GCF of 605,7439
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28720208/1
Therefore the LCM of Fractions 3641/605,7888/7439 is 28720208
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 7439
List of positive integer factors of 7439 that divides 7439 without a remainder.
1,43,173,7439
Greatest Common Factor
We found the factors 605,7439 . The biggest common factor number is the GCF number.
So the greatest common factor 605,7439 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 3641/605, 7888/7439?
Answer: LCM of Numerators as per given numbers 3641/605, 7888/7439 is
LCM of Numerators i.e. for 3641,7888 is 28720208
GCF of denominators i.e. for 605,7439 is 1.
Thus, LCM of Fractions is 28720208.Finally, LCM of Fractions for 3641/605, 7888/7439 is 28720208.