Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 875/73, 463/3041 quickly i.e. 405125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 875/73, 463/3041 is 405125.
LCM(875/73, 463/3041) = 405125
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 875/73,463/3041
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 875,463
Least Common Multiple of Numerators i.e. LCM of 875,463 is 405125.
GCF of Denominators means GCF of 73,3041 as per the given fractions.
GCF of 73,3041 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 875,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 405125
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 875,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,463) x common factors =1 x 1 = 1
LCM(875,463) = ( 875 × 463 ) / 1
LCM(875,463) = 405125 / 1
LCM(875,463) = 405125
Lets's calculate GCF of 73,3041
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405125/1
Therefore the LCM of Fractions 875/73,463/3041 is 405125
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 3041
List of positive integer factors of 3041 that divides 3041 without a remainder.
1,3041
Greatest Common Factor
We found the factors 73,3041 . The biggest common factor number is the GCF number.
So the greatest common factor 73,3041 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 875/73, 463/3041?
Answer: LCM of Numerators as per given numbers 875/73, 463/3041 is
LCM of Numerators i.e. for 875,463 is 405125
GCF of denominators i.e. for 73,3041 is 1.
Thus, LCM of Fractions is 405125.Finally, LCM of Fractions for 875/73, 463/3041 is 405125.