Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 256/22, 411/6428 quickly i.e. 52608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 256/22, 411/6428 is 52608.
LCM(256/22, 411/6428) = 52608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 256/22,411/6428
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 256,411
Least Common Multiple of Numerators i.e. LCM of 256,411 is 105216.
GCF of Denominators means GCF of 22,6428 as per the given fractions.
GCF of 22,6428 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 256,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 105216
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 256,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,411) x common factors =1 x 1 = 1
LCM(256,411) = ( 256 × 411 ) / 1
LCM(256,411) = 105216 / 1
LCM(256,411) = 105216
Lets's calculate GCF of 22,6428
2 | 22, 6428 |
11, 3214 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105216/2
Therefore the LCM of Fractions 256/22,411/6428 is 52608
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 6428
List of positive integer factors of 6428 that divides 6428 without a remainder.
1,2,4,1607,3214,6428
Greatest Common Factor
We found the factors 22,6428 . The biggest common factor number is the GCF number.
So the greatest common factor 22,6428 is 2.
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 256/22, 411/6428?
Answer: LCM of Numerators as per given numbers 256/22, 411/6428 is
LCM of Numerators i.e. for 256,411 is 105216
GCF of denominators i.e. for 22,6428 is 2.
Thus, LCM of Fractions is 52608.Finally, LCM of Fractions for 256/22, 411/6428 is 52608.