Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/964, 574/314, 329/768 quickly i.e. 5233732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/964, 574/314, 329/768 is 5233732.
LCM(776/964, 574/314, 329/768) = 5233732
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/964,574/314,329/768
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 776,574,329
Least Common Multiple of Numerators i.e. LCM of 776,574,329 is 10467464.
GCF of Denominators means GCF of 964,314,768 as per the given fractions.
GCF of 964,314,768 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,574,329
2 | 776, 574, 329 |
7 | 388, 287, 329 |
388, 41, 47 |
∴ So the LCM of the given numbers is 2 x 7 x 388 x 41 x 47 = 10467464
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 776,574,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,574,329) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(776,574,329) x common factors =1 x 14 = 14
LCM(776,574,329) = ( 776 × 574 × 329 ) / 14
LCM(776,574,329) = 146544496 / 14
LCM(776,574,329) = 10467464
Lets's calculate GCF of 964,314,768
2 | 964, 314, 768 |
482, 157, 384 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10467464/2
Therefore the LCM of Fractions 776/964,574/314,329/768 is 5233732
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 964,314,768 . The biggest common factor number is the GCF number.
So the greatest common factor 964,314,768 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 776/964, 574/314, 329/768?
Answer: LCM of Numerators as per given numbers 776/964, 574/314, 329/768 is
LCM of Numerators i.e. for 776,574,329 is 10467464
GCF of denominators i.e. for 964,314,768 is 2.
Thus, LCM of Fractions is 5233732.Finally, LCM of Fractions for 776/964, 574/314, 329/768 is 5233732.