Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/516, 622/416, 623/794 quickly i.e. 11043921 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/516, 622/416, 623/794 is 11043921.
LCM(57/516, 622/416, 623/794) = 11043921
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/516,622/416,623/794
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 57,622,623
Least Common Multiple of Numerators i.e. LCM of 57,622,623 is 22087842.
GCF of Denominators means GCF of 516,416,794 as per the given fractions.
GCF of 516,416,794 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,622,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 22087842
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 57,622,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,622,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,622,623) x common factors =1 x 1 = 1
LCM(57,622,623) = ( 57 × 622 × 623 ) / 1
LCM(57,622,623) = 22087842 / 1
LCM(57,622,623) = 22087842
Lets's calculate GCF of 516,416,794
2 | 516, 416, 794 |
258, 208, 397 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22087842/2
Therefore the LCM of Fractions 57/516,622/416,623/794 is 11043921
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 516,416,794 . The biggest common factor number is the GCF number.
So the greatest common factor 516,416,794 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 57/516, 622/416, 623/794?
Answer: LCM of Numerators as per given numbers 57/516, 622/416, 623/794 is
LCM of Numerators i.e. for 57,622,623 is 22087842
GCF of denominators i.e. for 516,416,794 is 2.
Thus, LCM of Fractions is 11043921.Finally, LCM of Fractions for 57/516, 622/416, 623/794 is 11043921.