Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/789, 494/619, 627/711 quickly i.e. 16302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/789, 494/619, 627/711 is 16302.
LCM(57/789, 494/619, 627/711) = 16302
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/789,494/619,627/711
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 57,494,627
Least Common Multiple of Numerators i.e. LCM of 57,494,627 is 16302.
GCF of Denominators means GCF of 789,619,711 as per the given fractions.
GCF of 789,619,711 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,494,627
3 | 57, 494, 627 |
19 | 19, 494, 209 |
1, 26, 11 |
∴ So the LCM of the given numbers is 3 x 19 x 1 x 26 x 11 = 16302
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 57,494,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,494,627) = 19
common factors(in case of two or more numbers have common factors) = 57
GCF(57,494,627) x common factors =19 x 57 = 1083
LCM(57,494,627) = ( 57 × 494 × 627 ) / 1083
LCM(57,494,627) = 17655066 / 1083
LCM(57,494,627) = 16302
Lets's calculate GCF of 789,619,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16302/1
Therefore the LCM of Fractions 57/789,494/619,627/711 is 16302
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 789,619,711 . The biggest common factor number is the GCF number.
So the greatest common factor 789,619,711 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 57/789, 494/619, 627/711?
Answer: LCM of Numerators as per given numbers 57/789, 494/619, 627/711 is
LCM of Numerators i.e. for 57,494,627 is 16302
GCF of denominators i.e. for 789,619,711 is 1.
Thus, LCM of Fractions is 16302.Finally, LCM of Fractions for 57/789, 494/619, 627/711 is 16302.