Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/673, 37/794, 994/615 quickly i.e. 2905462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/673, 37/794, 994/615 is 2905462.
LCM(79/673, 37/794, 994/615) = 2905462
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/673,37/794,994/615
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 79,37,994
Least Common Multiple of Numerators i.e. LCM of 79,37,994 is 2905462.
GCF of Denominators means GCF of 673,794,615 as per the given fractions.
GCF of 673,794,615 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,37,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 2905462
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 79,37,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,37,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,37,994) x common factors =1 x 1 = 1
LCM(79,37,994) = ( 79 × 37 × 994 ) / 1
LCM(79,37,994) = 2905462 / 1
LCM(79,37,994) = 2905462
Lets's calculate GCF of 673,794,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2905462/1
Therefore the LCM of Fractions 79/673,37/794,994/615 is 2905462
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 673,794,615 . The biggest common factor number is the GCF number.
So the greatest common factor 673,794,615 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 79/673, 37/794, 994/615?
Answer: LCM of Numerators as per given numbers 79/673, 37/794, 994/615 is
LCM of Numerators i.e. for 79,37,994 is 2905462
GCF of denominators i.e. for 673,794,615 is 1.
Thus, LCM of Fractions is 2905462.Finally, LCM of Fractions for 79/673, 37/794, 994/615 is 2905462.