Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/587, 197/459, 455/122 quickly i.e. 3675035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/587, 197/459, 455/122 is 3675035.
LCM(41/587, 197/459, 455/122) = 3675035
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/587,197/459,455/122
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 41,197,455
Least Common Multiple of Numerators i.e. LCM of 41,197,455 is 3675035.
GCF of Denominators means GCF of 587,459,122 as per the given fractions.
GCF of 587,459,122 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,197,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 3675035
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 41,197,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,197,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,197,455) x common factors =1 x 1 = 1
LCM(41,197,455) = ( 41 × 197 × 455 ) / 1
LCM(41,197,455) = 3675035 / 1
LCM(41,197,455) = 3675035
Lets's calculate GCF of 587,459,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3675035/1
Therefore the LCM of Fractions 41/587,197/459,455/122 is 3675035
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 587,459,122 . The biggest common factor number is the GCF number.
So the greatest common factor 587,459,122 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 41/587, 197/459, 455/122?
Answer: LCM of Numerators as per given numbers 41/587, 197/459, 455/122 is
LCM of Numerators i.e. for 41,197,455 is 3675035
GCF of denominators i.e. for 587,459,122 is 1.
Thus, LCM of Fractions is 3675035.Finally, LCM of Fractions for 41/587, 197/459, 455/122 is 3675035.