Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/63, 873/69, 494/783 quickly i.e. 1581294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/63, 873/69, 494/783 is 1581294.
LCM(66/63, 873/69, 494/783) = 1581294
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/63,873/69,494/783
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 66,873,494
Least Common Multiple of Numerators i.e. LCM of 66,873,494 is 4743882.
GCF of Denominators means GCF of 63,69,783 as per the given fractions.
GCF of 63,69,783 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,873,494
2 | 66, 873, 494 |
3 | 33, 873, 247 |
11, 291, 247 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 291 x 247 = 4743882
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 66,873,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,873,494) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,873,494) x common factors =1 x 6 = 6
LCM(66,873,494) = ( 66 × 873 × 494 ) / 6
LCM(66,873,494) = 28463292 / 6
LCM(66,873,494) = 4743882
Lets's calculate GCF of 63,69,783
3 | 63, 69, 783 |
21, 23, 261 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4743882/3
Therefore the LCM of Fractions 66/63,873/69,494/783 is 1581294
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 63,69,783 . The biggest common factor number is the GCF number.
So the greatest common factor 63,69,783 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 66/63, 873/69, 494/783?
Answer: LCM of Numerators as per given numbers 66/63, 873/69, 494/783 is
LCM of Numerators i.e. for 66,873,494 is 4743882
GCF of denominators i.e. for 63,69,783 is 3.
Thus, LCM of Fractions is 1581294.Finally, LCM of Fractions for 66/63, 873/69, 494/783 is 1581294.