Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/966, 76/405, 14/789 quickly i.e. 532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/966, 76/405, 14/789 is 532.
LCM(6/966, 76/405, 14/789) = 532
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/966,76/405,14/789
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 6,76,14
Least Common Multiple of Numerators i.e. LCM of 6,76,14 is 1596.
GCF of Denominators means GCF of 966,405,789 as per the given fractions.
GCF of 966,405,789 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,76,14
2 | 6, 76, 14 |
3, 38, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 38 x 7 = 1596
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 6,76,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,76,14) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(6,76,14) x common factors =2 x 2 = 4
LCM(6,76,14) = ( 6 × 76 × 14 ) / 4
LCM(6,76,14) = 6384 / 4
LCM(6,76,14) = 1596
Lets's calculate GCF of 966,405,789
3 | 966, 405, 789 |
322, 135, 263 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1596/3
Therefore the LCM of Fractions 6/966,76/405,14/789 is 532
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 966,405,789 . The biggest common factor number is the GCF number.
So the greatest common factor 966,405,789 is 3.
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 6/966, 76/405, 14/789?
Answer: LCM of Numerators as per given numbers 6/966, 76/405, 14/789 is
LCM of Numerators i.e. for 6,76,14 is 1596
GCF of denominators i.e. for 966,405,789 is 3.
Thus, LCM of Fractions is 532.Finally, LCM of Fractions for 6/966, 76/405, 14/789 is 532.