Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 184/18, 798/2260 quickly i.e. 36708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 184/18, 798/2260 is 36708.
LCM(184/18, 798/2260) = 36708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 184/18,798/2260
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 184,798
Least Common Multiple of Numerators i.e. LCM of 184,798 is 73416.
GCF of Denominators means GCF of 18,2260 as per the given fractions.
GCF of 18,2260 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 184,798
2 | 184, 798 |
92, 399 |
∴ So the LCM of the given numbers is 2 x 92 x 399 = 73416
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 184,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(184,798) x common factors =2 x 1 = 2
LCM(184,798) = ( 184 × 798 ) / 2
LCM(184,798) = 146832 / 2
LCM(184,798) = 73416
Lets's calculate GCF of 18,2260
2 | 18, 2260 |
9, 1130 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73416/2
Therefore the LCM of Fractions 184/18,798/2260 is 36708
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 2260
List of positive integer factors of 2260 that divides 2260 without a remainder.
1,2,4,5,10,20,113,226,452,565,1130,2260
Greatest Common Factor
We found the factors 18,2260 . The biggest common factor number is the GCF number.
So the greatest common factor 18,2260 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 184/18, 798/2260?
Answer: LCM of Numerators as per given numbers 184/18, 798/2260 is
LCM of Numerators i.e. for 184,798 is 73416
GCF of denominators i.e. for 18,2260 is 2.
Thus, LCM of Fractions is 36708.Finally, LCM of Fractions for 184/18, 798/2260 is 36708.