Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 322/667, 609/711, 996/774 quickly i.e. 4650324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 322/667, 609/711, 996/774 is 4650324.
LCM(322/667, 609/711, 996/774) = 4650324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 322/667,609/711,996/774
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 322,609,996
Least Common Multiple of Numerators i.e. LCM of 322,609,996 is 4650324.
GCF of Denominators means GCF of 667,711,774 as per the given fractions.
GCF of 667,711,774 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 322,609,996
2 | 322, 609, 996 |
3 | 161, 609, 498 |
7 | 161, 203, 166 |
23, 29, 166 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 29 x 166 = 4650324
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 322,609,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,609,996) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(322,609,996) x common factors =1 x 42 = 42
LCM(322,609,996) = ( 322 × 609 × 996 ) / 42
LCM(322,609,996) = 195313608 / 42
LCM(322,609,996) = 4650324
Lets's calculate GCF of 667,711,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4650324/1
Therefore the LCM of Fractions 322/667,609/711,996/774 is 4650324
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 667,711,774 . The biggest common factor number is the GCF number.
So the greatest common factor 667,711,774 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 322/667, 609/711, 996/774?
Answer: LCM of Numerators as per given numbers 322/667, 609/711, 996/774 is
LCM of Numerators i.e. for 322,609,996 is 4650324
GCF of denominators i.e. for 667,711,774 is 1.
Thus, LCM of Fractions is 4650324.Finally, LCM of Fractions for 322/667, 609/711, 996/774 is 4650324.