Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 587/775, 4101/7208 quickly i.e. 2407287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 587/775, 4101/7208 is 2407287.
LCM(587/775, 4101/7208) = 2407287
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 587/775,4101/7208
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 587,4101
Least Common Multiple of Numerators i.e. LCM of 587,4101 is 2407287.
GCF of Denominators means GCF of 775,7208 as per the given fractions.
GCF of 775,7208 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 587,4101
Given numbers has no common factors except 1. So, there LCM is their product i.e 2407287
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 587,4101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,4101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,4101) x common factors =1 x 1 = 1
LCM(587,4101) = ( 587 × 4101 ) / 1
LCM(587,4101) = 2407287 / 1
LCM(587,4101) = 2407287
Lets's calculate GCF of 775,7208
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2407287/1
Therefore the LCM of Fractions 587/775,4101/7208 is 2407287
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 7208
List of positive integer factors of 7208 that divides 7208 without a remainder.
1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208
Greatest Common Factor
We found the factors 775,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 775,7208 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 587/775, 4101/7208?
Answer: LCM of Numerators as per given numbers 587/775, 4101/7208 is
LCM of Numerators i.e. for 587,4101 is 2407287
GCF of denominators i.e. for 775,7208 is 1.
Thus, LCM of Fractions is 2407287.Finally, LCM of Fractions for 587/775, 4101/7208 is 2407287.