Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 485/40, 4580/101 quickly i.e. 444260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 485/40, 4580/101 is 444260.
LCM(485/40, 4580/101) = 444260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 485/40,4580/101
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 485,4580
Least Common Multiple of Numerators i.e. LCM of 485,4580 is 444260.
GCF of Denominators means GCF of 40,101 as per the given fractions.
GCF of 40,101 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 485,4580
5 | 485, 4580 |
97, 916 |
∴ So the LCM of the given numbers is 5 x 97 x 916 = 444260
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 485,4580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,4580) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(485,4580) x common factors =5 x 1 = 5
LCM(485,4580) = ( 485 × 4580 ) / 5
LCM(485,4580) = 2221300 / 5
LCM(485,4580) = 444260
Lets's calculate GCF of 40,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444260/1
Therefore the LCM of Fractions 485/40,4580/101 is 444260
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 40,101 . The biggest common factor number is the GCF number.
So the greatest common factor 40,101 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 485/40, 4580/101?
Answer: LCM of Numerators as per given numbers 485/40, 4580/101 is
LCM of Numerators i.e. for 485,4580 is 444260
GCF of denominators i.e. for 40,101 is 1.
Thus, LCM of Fractions is 444260.Finally, LCM of Fractions for 485/40, 4580/101 is 444260.