Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/396, 64/783, 71/388 quickly i.e. 4544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/396, 64/783, 71/388 is 4544.
LCM(1/396, 64/783, 71/388) = 4544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/396,64/783,71/388
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 1,64,71
Least Common Multiple of Numerators i.e. LCM of 1,64,71 is 4544.
GCF of Denominators means GCF of 396,783,388 as per the given fractions.
GCF of 396,783,388 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,64,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 4544
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 1,64,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,64,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,64,71) x common factors =1 x 1 = 1
LCM(1,64,71) = ( 1 × 64 × 71 ) / 1
LCM(1,64,71) = 4544 / 1
LCM(1,64,71) = 4544
Lets's calculate GCF of 396,783,388
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4544/1
Therefore the LCM of Fractions 1/396,64/783,71/388 is 4544
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
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 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 396,783,388 . The biggest common factor number is the GCF number.
So the greatest common factor 396,783,388 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 1/396, 64/783, 71/388?
Answer: LCM of Numerators as per given numbers 1/396, 64/783, 71/388 is
LCM of Numerators i.e. for 1,64,71 is 4544
GCF of denominators i.e. for 396,783,388 is 1.
Thus, LCM of Fractions is 4544.Finally, LCM of Fractions for 1/396, 64/783, 71/388 is 4544.