Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 782/578, 498/910, 469/666 quickly i.e. 45661371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 782/578, 498/910, 469/666 is 45661371.
LCM(782/578, 498/910, 469/666) = 45661371
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 782/578,498/910,469/666
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 782,498,469
Least Common Multiple of Numerators i.e. LCM of 782,498,469 is 91322742.
GCF of Denominators means GCF of 578,910,666 as per the given fractions.
GCF of 578,910,666 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 782,498,469
2 | 782, 498, 469 |
391, 249, 469 |
∴ So the LCM of the given numbers is 2 x 391 x 249 x 469 = 91322742
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 782,498,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,498,469) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(782,498,469) x common factors =1 x 2 = 2
LCM(782,498,469) = ( 782 × 498 × 469 ) / 2
LCM(782,498,469) = 182645484 / 2
LCM(782,498,469) = 91322742
Lets's calculate GCF of 578,910,666
2 | 578, 910, 666 |
289, 455, 333 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91322742/2
Therefore the LCM of Fractions 782/578,498/910,469/666 is 45661371
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 578,910,666 . The biggest common factor number is the GCF number.
So the greatest common factor 578,910,666 is 2.
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 782/578, 498/910, 469/666?
Answer: LCM of Numerators as per given numbers 782/578, 498/910, 469/666 is
LCM of Numerators i.e. for 782,498,469 is 91322742
GCF of denominators i.e. for 578,910,666 is 2.
Thus, LCM of Fractions is 45661371.Finally, LCM of Fractions for 782/578, 498/910, 469/666 is 45661371.