Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/774, 5665/9994 quickly i.e. 39655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/774, 5665/9994 is 39655.
LCM(14/774, 5665/9994) = 39655
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/774,5665/9994
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 14,5665
Least Common Multiple of Numerators i.e. LCM of 14,5665 is 79310.
GCF of Denominators means GCF of 774,9994 as per the given fractions.
GCF of 774,9994 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,5665
Given numbers has no common factors except 1. So, there LCM is their product i.e 79310
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 14,5665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,5665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,5665) x common factors =1 x 1 = 1
LCM(14,5665) = ( 14 × 5665 ) / 1
LCM(14,5665) = 79310 / 1
LCM(14,5665) = 79310
Lets's calculate GCF of 774,9994
2 | 774, 9994 |
387, 4997 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79310/2
Therefore the LCM of Fractions 14/774,5665/9994 is 39655
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 9994
List of positive integer factors of 9994 that divides 9994 without a remainder.
1,2,19,38,263,526,4997,9994
Greatest Common Factor
We found the factors 774,9994 . The biggest common factor number is the GCF number.
So the greatest common factor 774,9994 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 14/774, 5665/9994?
Answer: LCM of Numerators as per given numbers 14/774, 5665/9994 is
LCM of Numerators i.e. for 14,5665 is 79310
GCF of denominators i.e. for 774,9994 is 2.
Thus, LCM of Fractions is 39655.Finally, LCM of Fractions for 14/774, 5665/9994 is 39655.