Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 399/759, 4826/993 quickly i.e. 33782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 399/759, 4826/993 is 33782.
LCM(399/759, 4826/993) = 33782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 399/759,4826/993
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 399,4826
Least Common Multiple of Numerators i.e. LCM of 399,4826 is 101346.
GCF of Denominators means GCF of 759,993 as per the given fractions.
GCF of 759,993 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 399,4826
19 | 399, 4826 |
21, 254 |
∴ So the LCM of the given numbers is 19 x 21 x 254 = 101346
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 399,4826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,4826) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(399,4826) x common factors =19 x 1 = 19
LCM(399,4826) = ( 399 × 4826 ) / 19
LCM(399,4826) = 1925574 / 19
LCM(399,4826) = 101346
Lets's calculate GCF of 759,993
3 | 759, 993 |
253, 331 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101346/3
Therefore the LCM of Fractions 399/759,4826/993 is 33782
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 759,993 . The biggest common factor number is the GCF number.
So the greatest common factor 759,993 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 399/759, 4826/993?
Answer: LCM of Numerators as per given numbers 399/759, 4826/993 is
LCM of Numerators i.e. for 399,4826 is 101346
GCF of denominators i.e. for 759,993 is 3.
Thus, LCM of Fractions is 33782.Finally, LCM of Fractions for 399/759, 4826/993 is 33782.