Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9226/393, 2733/2346 quickly i.e. 8404886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9226/393, 2733/2346 is 8404886.
LCM(9226/393, 2733/2346) = 8404886
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9226/393,2733/2346
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 9226,2733
Least Common Multiple of Numerators i.e. LCM of 9226,2733 is 25214658.
GCF of Denominators means GCF of 393,2346 as per the given fractions.
GCF of 393,2346 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9226,2733
Given numbers has no common factors except 1. So, there LCM is their product i.e 25214658
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 9226,2733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9226,2733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9226,2733) x common factors =1 x 1 = 1
LCM(9226,2733) = ( 9226 × 2733 ) / 1
LCM(9226,2733) = 25214658 / 1
LCM(9226,2733) = 25214658
Lets's calculate GCF of 393,2346
3 | 393, 2346 |
131, 782 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25214658/3
Therefore the LCM of Fractions 9226/393,2733/2346 is 8404886
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 2346
List of positive integer factors of 2346 that divides 2346 without a remainder.
1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346
Greatest Common Factor
We found the factors 393,2346 . The biggest common factor number is the GCF number.
So the greatest common factor 393,2346 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 9226/393, 2733/2346?
Answer: LCM of Numerators as per given numbers 9226/393, 2733/2346 is
LCM of Numerators i.e. for 9226,2733 is 25214658
GCF of denominators i.e. for 393,2346 is 3.
Thus, LCM of Fractions is 8404886.Finally, LCM of Fractions for 9226/393, 2733/2346 is 8404886.