Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/783, 4016/8428 quickly i.e. 967856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/783, 4016/8428 is 967856.
LCM(241/783, 4016/8428) = 967856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/783,4016/8428
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 241,4016
Least Common Multiple of Numerators i.e. LCM of 241,4016 is 967856.
GCF of Denominators means GCF of 783,8428 as per the given fractions.
GCF of 783,8428 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,4016
Given numbers has no common factors except 1. So, there LCM is their product i.e 967856
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 241,4016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,4016) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,4016) x common factors =1 x 1 = 1
LCM(241,4016) = ( 241 × 4016 ) / 1
LCM(241,4016) = 967856 / 1
LCM(241,4016) = 967856
Lets's calculate GCF of 783,8428
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 967856/1
Therefore the LCM of Fractions 241/783,4016/8428 is 967856
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 8428
List of positive integer factors of 8428 that divides 8428 without a remainder.
1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428
Greatest Common Factor
We found the factors 783,8428 . The biggest common factor number is the GCF number.
So the greatest common factor 783,8428 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 241/783, 4016/8428?
Answer: LCM of Numerators as per given numbers 241/783, 4016/8428 is
LCM of Numerators i.e. for 241,4016 is 967856
GCF of denominators i.e. for 783,8428 is 1.
Thus, LCM of Fractions is 967856.Finally, LCM of Fractions for 241/783, 4016/8428 is 967856.