Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9335/294, 1904/5748 quickly i.e. 17773840/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9335/294, 1904/5748 is 17773840/6.
LCM(9335/294, 1904/5748) = 17773840/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9335/294,1904/5748
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 9335,1904
Least Common Multiple of Numerators i.e. LCM of 9335,1904 is 17773840.
GCF of Denominators means GCF of 294,5748 as per the given fractions.
GCF of 294,5748 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9335,1904
Given numbers has no common factors except 1. So, there LCM is their product i.e 17773840
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 9335,1904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9335,1904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9335,1904) x common factors =1 x 1 = 1
LCM(9335,1904) = ( 9335 × 1904 ) / 1
LCM(9335,1904) = 17773840 / 1
LCM(9335,1904) = 17773840
Lets's calculate GCF of 294,5748
2 | 294, 5748 |
3 | 147, 2874 |
49, 958 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17773840/6
Therefore the LCM of Fractions 9335/294,1904/5748 is 17773840/6
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 5748
List of positive integer factors of 5748 that divides 5748 without a remainder.
1,2,3,4,6,12,479,958,1437,1916,2874,5748
Greatest Common Factor
We found the factors 294,5748 . The biggest common factor number is the GCF number.
So the greatest common factor 294,5748 is 6.
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 9335/294, 1904/5748?
Answer: LCM of Numerators as per given numbers 9335/294, 1904/5748 is
LCM of Numerators i.e. for 9335,1904 is 17773840
GCF of denominators i.e. for 294,5748 is 6.
Thus, LCM of Fractions is 17773840/6.Finally, LCM of Fractions for 9335/294, 1904/5748 is 17773840/6.