Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/798, 6826/9481 quickly i.e. 184302/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/798, 6826/9481 is 184302/19.
LCM(27/798, 6826/9481) = 184302/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/798,6826/9481
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 27,6826
Least Common Multiple of Numerators i.e. LCM of 27,6826 is 184302.
GCF of Denominators means GCF of 798,9481 as per the given fractions.
GCF of 798,9481 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,6826
Given numbers has no common factors except 1. So, there LCM is their product i.e 184302
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 27,6826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,6826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,6826) x common factors =1 x 1 = 1
LCM(27,6826) = ( 27 × 6826 ) / 1
LCM(27,6826) = 184302 / 1
LCM(27,6826) = 184302
Lets's calculate GCF of 798,9481
19 | 798, 9481 |
42, 499 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184302/19
Therefore the LCM of Fractions 27/798,6826/9481 is 184302/19
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 9481
List of positive integer factors of 9481 that divides 9481 without a remainder.
1,19,499,9481
Greatest Common Factor
We found the factors 798,9481 . The biggest common factor number is the GCF number.
So the greatest common factor 798,9481 is 19.
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 27/798, 6826/9481?
Answer: LCM of Numerators as per given numbers 27/798, 6826/9481 is
LCM of Numerators i.e. for 27,6826 is 184302
GCF of denominators i.e. for 798,9481 is 19.
Thus, LCM of Fractions is 184302/19.Finally, LCM of Fractions for 27/798, 6826/9481 is 184302/19.