Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 826/667, 110/451, 633/487 quickly i.e. 28757190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 826/667, 110/451, 633/487 is 28757190.
LCM(826/667, 110/451, 633/487) = 28757190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 826/667,110/451,633/487
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 826,110,633
Least Common Multiple of Numerators i.e. LCM of 826,110,633 is 28757190.
GCF of Denominators means GCF of 667,451,487 as per the given fractions.
GCF of 667,451,487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 826,110,633
2 | 826, 110, 633 |
413, 55, 633 |
∴ So the LCM of the given numbers is 2 x 413 x 55 x 633 = 28757190
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 826,110,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,110,633) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(826,110,633) x common factors =1 x 2 = 2
LCM(826,110,633) = ( 826 × 110 × 633 ) / 2
LCM(826,110,633) = 57514380 / 2
LCM(826,110,633) = 28757190
Lets's calculate GCF of 667,451,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28757190/1
Therefore the LCM of Fractions 826/667,110/451,633/487 is 28757190
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Greatest Common Factor
We found the factors 667,451,487 . The biggest common factor number is the GCF number.
So the greatest common factor 667,451,487 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 826/667, 110/451, 633/487?
Answer: LCM of Numerators as per given numbers 826/667, 110/451, 633/487 is
LCM of Numerators i.e. for 826,110,633 is 28757190
GCF of denominators i.e. for 667,451,487 is 1.
Thus, LCM of Fractions is 28757190.Finally, LCM of Fractions for 826/667, 110/451, 633/487 is 28757190.