Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4917/248, 4853/2458 quickly i.e. 23862201/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4917/248, 4853/2458 is 23862201/2.
LCM(4917/248, 4853/2458) = 23862201/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4917/248,4853/2458
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 4917,4853
Least Common Multiple of Numerators i.e. LCM of 4917,4853 is 23862201.
GCF of Denominators means GCF of 248,2458 as per the given fractions.
GCF of 248,2458 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4917,4853
Given numbers has no common factors except 1. So, there LCM is their product i.e 23862201
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 4917,4853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4917,4853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4917,4853) x common factors =1 x 1 = 1
LCM(4917,4853) = ( 4917 × 4853 ) / 1
LCM(4917,4853) = 23862201 / 1
LCM(4917,4853) = 23862201
Lets's calculate GCF of 248,2458
2 | 248, 2458 |
124, 1229 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23862201/2
Therefore the LCM of Fractions 4917/248,4853/2458 is 23862201/2
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
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 248,2458 . The biggest common factor number is the GCF number.
So the greatest common factor 248,2458 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 4917/248, 4853/2458?
Answer: LCM of Numerators as per given numbers 4917/248, 4853/2458 is
LCM of Numerators i.e. for 4917,4853 is 23862201
GCF of denominators i.e. for 248,2458 is 2.
Thus, LCM of Fractions is 23862201/2.Finally, LCM of Fractions for 4917/248, 4853/2458 is 23862201/2.