Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/422, 1286/2411 quickly i.e. 83590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/422, 1286/2411 is 83590.
LCM(65/422, 1286/2411) = 83590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/422,1286/2411
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 65,1286
Least Common Multiple of Numerators i.e. LCM of 65,1286 is 83590.
GCF of Denominators means GCF of 422,2411 as per the given fractions.
GCF of 422,2411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,1286
Given numbers has no common factors except 1. So, there LCM is their product i.e 83590
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 65,1286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,1286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,1286) x common factors =1 x 1 = 1
LCM(65,1286) = ( 65 × 1286 ) / 1
LCM(65,1286) = 83590 / 1
LCM(65,1286) = 83590
Lets's calculate GCF of 422,2411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83590/1
Therefore the LCM of Fractions 65/422,1286/2411 is 83590
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 2411
List of positive integer factors of 2411 that divides 2411 without a remainder.
1,2411
Greatest Common Factor
We found the factors 422,2411 . The biggest common factor number is the GCF number.
So the greatest common factor 422,2411 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 65/422, 1286/2411?
Answer: LCM of Numerators as per given numbers 65/422, 1286/2411 is
LCM of Numerators i.e. for 65,1286 is 83590
GCF of denominators i.e. for 422,2411 is 1.
Thus, LCM of Fractions is 83590.Finally, LCM of Fractions for 65/422, 1286/2411 is 83590.