Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 459/465, 6637/905 quickly i.e. 3046383/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 459/465, 6637/905 is 3046383/5.
LCM(459/465, 6637/905) = 3046383/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 459/465,6637/905
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 459,6637
Least Common Multiple of Numerators i.e. LCM of 459,6637 is 3046383.
GCF of Denominators means GCF of 465,905 as per the given fractions.
GCF of 465,905 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 459,6637
Given numbers has no common factors except 1. So, there LCM is their product i.e 3046383
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 459,6637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,6637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,6637) x common factors =1 x 1 = 1
LCM(459,6637) = ( 459 × 6637 ) / 1
LCM(459,6637) = 3046383 / 1
LCM(459,6637) = 3046383
Lets's calculate GCF of 465,905
5 | 465, 905 |
93, 181 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3046383/5
Therefore the LCM of Fractions 459/465,6637/905 is 3046383/5
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 465,905 . The biggest common factor number is the GCF number.
So the greatest common factor 465,905 is 5.
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 459/465, 6637/905?
Answer: LCM of Numerators as per given numbers 459/465, 6637/905 is
LCM of Numerators i.e. for 459,6637 is 3046383
GCF of denominators i.e. for 465,905 is 5.
Thus, LCM of Fractions is 3046383/5.Finally, LCM of Fractions for 459/465, 6637/905 is 3046383/5.