Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8123/244, 3861/2429 quickly i.e. 31362903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8123/244, 3861/2429 is 31362903.
LCM(8123/244, 3861/2429) = 31362903
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8123/244,3861/2429
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 8123,3861
Least Common Multiple of Numerators i.e. LCM of 8123,3861 is 31362903.
GCF of Denominators means GCF of 244,2429 as per the given fractions.
GCF of 244,2429 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8123,3861
Given numbers has no common factors except 1. So, there LCM is their product i.e 31362903
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 8123,3861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8123,3861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8123,3861) x common factors =1 x 1 = 1
LCM(8123,3861) = ( 8123 × 3861 ) / 1
LCM(8123,3861) = 31362903 / 1
LCM(8123,3861) = 31362903
Lets's calculate GCF of 244,2429
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31362903/1
Therefore the LCM of Fractions 8123/244,3861/2429 is 31362903
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 2429
List of positive integer factors of 2429 that divides 2429 without a remainder.
1,7,347,2429
Greatest Common Factor
We found the factors 244,2429 . The biggest common factor number is the GCF number.
So the greatest common factor 244,2429 is 1.
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 8123/244, 3861/2429?
Answer: LCM of Numerators as per given numbers 8123/244, 3861/2429 is
LCM of Numerators i.e. for 8123,3861 is 31362903
GCF of denominators i.e. for 244,2429 is 1.
Thus, LCM of Fractions is 31362903.Finally, LCM of Fractions for 8123/244, 3861/2429 is 31362903.