Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8401/407, 5318/367 quickly i.e. 44676518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8401/407, 5318/367 is 44676518.
LCM(8401/407, 5318/367) = 44676518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8401/407,5318/367
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 8401,5318
Least Common Multiple of Numerators i.e. LCM of 8401,5318 is 44676518.
GCF of Denominators means GCF of 407,367 as per the given fractions.
GCF of 407,367 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8401,5318
Given numbers has no common factors except 1. So, there LCM is their product i.e 44676518
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 8401,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8401,5318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8401,5318) x common factors =1 x 1 = 1
LCM(8401,5318) = ( 8401 × 5318 ) / 1
LCM(8401,5318) = 44676518 / 1
LCM(8401,5318) = 44676518
Lets's calculate GCF of 407,367
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44676518/1
Therefore the LCM of Fractions 8401/407,5318/367 is 44676518
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Greatest Common Factor
We found the factors 407,367 . The biggest common factor number is the GCF number.
So the greatest common factor 407,367 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 8401/407, 5318/367?
Answer: LCM of Numerators as per given numbers 8401/407, 5318/367 is
LCM of Numerators i.e. for 8401,5318 is 44676518
GCF of denominators i.e. for 407,367 is 1.
Thus, LCM of Fractions is 44676518.Finally, LCM of Fractions for 8401/407, 5318/367 is 44676518.