Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 401/925, 405/106 quickly i.e. 162405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 401/925, 405/106 is 162405.
LCM(401/925, 405/106) = 162405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 401/925,405/106
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 401,405
Least Common Multiple of Numerators i.e. LCM of 401,405 is 162405.
GCF of Denominators means GCF of 925,106 as per the given fractions.
GCF of 925,106 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 401,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 162405
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 401,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,405) x common factors =1 x 1 = 1
LCM(401,405) = ( 401 × 405 ) / 1
LCM(401,405) = 162405 / 1
LCM(401,405) = 162405
Lets's calculate GCF of 925,106
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162405/1
Therefore the LCM of Fractions 401/925,405/106 is 162405
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 925,106 . The biggest common factor number is the GCF number.
So the greatest common factor 925,106 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 401/925, 405/106?
Answer: LCM of Numerators as per given numbers 401/925, 405/106 is
LCM of Numerators i.e. for 401,405 is 162405
GCF of denominators i.e. for 925,106 is 1.
Thus, LCM of Fractions is 162405.Finally, LCM of Fractions for 401/925, 405/106 is 162405.