Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2481/818, 5858/410 quickly i.e. 7266849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2481/818, 5858/410 is 7266849.
LCM(2481/818, 5858/410) = 7266849
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2481/818,5858/410
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 2481,5858
Least Common Multiple of Numerators i.e. LCM of 2481,5858 is 14533698.
GCF of Denominators means GCF of 818,410 as per the given fractions.
GCF of 818,410 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2481,5858
Given numbers has no common factors except 1. So, there LCM is their product i.e 14533698
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 2481,5858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2481,5858) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2481,5858) x common factors =1 x 1 = 1
LCM(2481,5858) = ( 2481 × 5858 ) / 1
LCM(2481,5858) = 14533698 / 1
LCM(2481,5858) = 14533698
Lets's calculate GCF of 818,410
2 | 818, 410 |
409, 205 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14533698/2
Therefore the LCM of Fractions 2481/818,5858/410 is 7266849
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 818,410 . The biggest common factor number is the GCF number.
So the greatest common factor 818,410 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 2481/818, 5858/410?
Answer: LCM of Numerators as per given numbers 2481/818, 5858/410 is
LCM of Numerators i.e. for 2481,5858 is 14533698
GCF of denominators i.e. for 818,410 is 2.
Thus, LCM of Fractions is 7266849.Finally, LCM of Fractions for 2481/818, 5858/410 is 7266849.