Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 493/288, 841/802 quickly i.e. 14297/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 493/288, 841/802 is 14297/2.
LCM(493/288, 841/802) = 14297/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 493/288,841/802
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 493,841
Least Common Multiple of Numerators i.e. LCM of 493,841 is 14297.
GCF of Denominators means GCF of 288,802 as per the given fractions.
GCF of 288,802 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 493,841
29 | 493, 841 |
17, 29 |
∴ So the LCM of the given numbers is 29 x 17 x 29 = 14297
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 493,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,841) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(493,841) x common factors =29 x 1 = 29
LCM(493,841) = ( 493 × 841 ) / 29
LCM(493,841) = 414613 / 29
LCM(493,841) = 14297
Lets's calculate GCF of 288,802
2 | 288, 802 |
144, 401 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14297/2
Therefore the LCM of Fractions 493/288,841/802 is 14297/2
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Greatest Common Factor
We found the factors 288,802 . The biggest common factor number is the GCF number.
So the greatest common factor 288,802 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 493/288, 841/802?
Answer: LCM of Numerators as per given numbers 493/288, 841/802 is
LCM of Numerators i.e. for 493,841 is 14297
GCF of denominators i.e. for 288,802 is 2.
Thus, LCM of Fractions is 14297/2.Finally, LCM of Fractions for 493/288, 841/802 is 14297/2.