Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5308/218, 5449/2458 quickly i.e. 14461646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5308/218, 5449/2458 is 14461646.
LCM(5308/218, 5449/2458) = 14461646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5308/218,5449/2458
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 5308,5449
Least Common Multiple of Numerators i.e. LCM of 5308,5449 is 28923292.
GCF of Denominators means GCF of 218,2458 as per the given fractions.
GCF of 218,2458 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5308,5449
Given numbers has no common factors except 1. So, there LCM is their product i.e 28923292
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 5308,5449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5308,5449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5308,5449) x common factors =1 x 1 = 1
LCM(5308,5449) = ( 5308 × 5449 ) / 1
LCM(5308,5449) = 28923292 / 1
LCM(5308,5449) = 28923292
Lets's calculate GCF of 218,2458
2 | 218, 2458 |
109, 1229 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28923292/2
Therefore the LCM of Fractions 5308/218,5449/2458 is 14461646
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 2458
List of positive integer factors of 2458 that divides 2458 without a remainder.
1,2,1229,2458
Greatest Common Factor
We found the factors 218,2458 . The biggest common factor number is the GCF number.
So the greatest common factor 218,2458 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 5308/218, 5449/2458?
Answer: LCM of Numerators as per given numbers 5308/218, 5449/2458 is
LCM of Numerators i.e. for 5308,5449 is 28923292
GCF of denominators i.e. for 218,2458 is 2.
Thus, LCM of Fractions is 14461646.Finally, LCM of Fractions for 5308/218, 5449/2458 is 14461646.