Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 682/263, 8065/460 quickly i.e. 5500330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 682/263, 8065/460 is 5500330.
LCM(682/263, 8065/460) = 5500330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 682/263,8065/460
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 682,8065
Least Common Multiple of Numerators i.e. LCM of 682,8065 is 5500330.
GCF of Denominators means GCF of 263,460 as per the given fractions.
GCF of 263,460 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 682,8065
Given numbers has no common factors except 1. So, there LCM is their product i.e 5500330
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 682,8065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,8065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,8065) x common factors =1 x 1 = 1
LCM(682,8065) = ( 682 × 8065 ) / 1
LCM(682,8065) = 5500330 / 1
LCM(682,8065) = 5500330
Lets's calculate GCF of 263,460
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5500330/1
Therefore the LCM of Fractions 682/263,8065/460 is 5500330
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 263,460 . The biggest common factor number is the GCF number.
So the greatest common factor 263,460 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 682/263, 8065/460?
Answer: LCM of Numerators as per given numbers 682/263, 8065/460 is
LCM of Numerators i.e. for 682,8065 is 5500330
GCF of denominators i.e. for 263,460 is 1.
Thus, LCM of Fractions is 5500330.Finally, LCM of Fractions for 682/263, 8065/460 is 5500330.