Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3681/16, 6718/128 quickly i.e. 24728958/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3681/16, 6718/128 is 24728958/16.
LCM(3681/16, 6718/128) = 24728958/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3681/16,6718/128
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 3681,6718
Least Common Multiple of Numerators i.e. LCM of 3681,6718 is 24728958.
GCF of Denominators means GCF of 16,128 as per the given fractions.
GCF of 16,128 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3681,6718
Given numbers has no common factors except 1. So, there LCM is their product i.e 24728958
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 3681,6718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3681,6718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3681,6718) x common factors =1 x 1 = 1
LCM(3681,6718) = ( 3681 × 6718 ) / 1
LCM(3681,6718) = 24728958 / 1
LCM(3681,6718) = 24728958
Lets's calculate GCF of 16,128
2 | 16, 128 |
2 | 8, 64 |
2 | 4, 32 |
2 | 2, 16 |
1, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24728958/16
Therefore the LCM of Fractions 3681/16,6718/128 is 24728958/16
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Greatest Common Factor
We found the factors 16,128 . The biggest common factor number is the GCF number.
So the greatest common factor 16,128 is 16.
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 3681/16, 6718/128?
Answer: LCM of Numerators as per given numbers 3681/16, 6718/128 is
LCM of Numerators i.e. for 3681,6718 is 24728958
GCF of denominators i.e. for 16,128 is 16.
Thus, LCM of Fractions is 24728958/16.Finally, LCM of Fractions for 3681/16, 6718/128 is 24728958/16.