Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 706/33, 471/84, 233/648 quickly i.e. 25826186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 706/33, 471/84, 233/648 is 25826186.
LCM(706/33, 471/84, 233/648) = 25826186
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 706/33,471/84,233/648
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 706,471,233
Least Common Multiple of Numerators i.e. LCM of 706,471,233 is 77478558.
GCF of Denominators means GCF of 33,84,648 as per the given fractions.
GCF of 33,84,648 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 706,471,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 77478558
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 706,471,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,471,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,471,233) x common factors =1 x 1 = 1
LCM(706,471,233) = ( 706 × 471 × 233 ) / 1
LCM(706,471,233) = 77478558 / 1
LCM(706,471,233) = 77478558
Lets's calculate GCF of 33,84,648
3 | 33, 84, 648 |
11, 28, 216 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77478558/3
Therefore the LCM of Fractions 706/33,471/84,233/648 is 25826186
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
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 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 33,84,648 . The biggest common factor number is the GCF number.
So the greatest common factor 33,84,648 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 706/33, 471/84, 233/648?
Answer: LCM of Numerators as per given numbers 706/33, 471/84, 233/648 is
LCM of Numerators i.e. for 706,471,233 is 77478558
GCF of denominators i.e. for 33,84,648 is 3.
Thus, LCM of Fractions is 25826186.Finally, LCM of Fractions for 706/33, 471/84, 233/648 is 25826186.