Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/54, 57/84, 773/966 quickly i.e. 749037/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/54, 57/84, 773/966 is 749037/6.
LCM(17/54, 57/84, 773/966) = 749037/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/54,57/84,773/966
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 17,57,773
Least Common Multiple of Numerators i.e. LCM of 17,57,773 is 749037.
GCF of Denominators means GCF of 54,84,966 as per the given fractions.
GCF of 54,84,966 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,57,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 749037
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 17,57,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,57,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,57,773) x common factors =1 x 1 = 1
LCM(17,57,773) = ( 17 × 57 × 773 ) / 1
LCM(17,57,773) = 749037 / 1
LCM(17,57,773) = 749037
Lets's calculate GCF of 54,84,966
2 | 54, 84, 966 |
3 | 27, 42, 483 |
9, 14, 161 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749037/6
Therefore the LCM of Fractions 17/54,57/84,773/966 is 749037/6
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
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
Greatest Common Factor
We found the factors 54,84,966 . The biggest common factor number is the GCF number.
So the greatest common factor 54,84,966 is 6.
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 17/54, 57/84, 773/966?
Answer: LCM of Numerators as per given numbers 17/54, 57/84, 773/966 is
LCM of Numerators i.e. for 17,57,773 is 749037
GCF of denominators i.e. for 54,84,966 is 6.
Thus, LCM of Fractions is 749037/6.Finally, LCM of Fractions for 17/54, 57/84, 773/966 is 749037/6.