Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 444/939, 3615/7794 quickly i.e. 178340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 444/939, 3615/7794 is 178340.
LCM(444/939, 3615/7794) = 178340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 444/939,3615/7794
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 444,3615
Least Common Multiple of Numerators i.e. LCM of 444,3615 is 535020.
GCF of Denominators means GCF of 939,7794 as per the given fractions.
GCF of 939,7794 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 444,3615
3 | 444, 3615 |
148, 1205 |
∴ So the LCM of the given numbers is 3 x 148 x 1205 = 535020
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 444,3615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,3615) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(444,3615) x common factors =3 x 1 = 3
LCM(444,3615) = ( 444 × 3615 ) / 3
LCM(444,3615) = 1605060 / 3
LCM(444,3615) = 535020
Lets's calculate GCF of 939,7794
3 | 939, 7794 |
313, 2598 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535020/3
Therefore the LCM of Fractions 444/939,3615/7794 is 178340
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 7794
List of positive integer factors of 7794 that divides 7794 without a remainder.
1,2,3,6,9,18,433,866,1299,2598,3897,7794
Greatest Common Factor
We found the factors 939,7794 . The biggest common factor number is the GCF number.
So the greatest common factor 939,7794 is 3.
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 444/939, 3615/7794?
Answer: LCM of Numerators as per given numbers 444/939, 3615/7794 is
LCM of Numerators i.e. for 444,3615 is 535020
GCF of denominators i.e. for 939,7794 is 3.
Thus, LCM of Fractions is 178340.Finally, LCM of Fractions for 444/939, 3615/7794 is 178340.