Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 997/86, 3999/244 quickly i.e. 3987003/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 997/86, 3999/244 is 3987003/2.
LCM(997/86, 3999/244) = 3987003/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 997/86,3999/244
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 997,3999
Least Common Multiple of Numerators i.e. LCM of 997,3999 is 3987003.
GCF of Denominators means GCF of 86,244 as per the given fractions.
GCF of 86,244 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 997,3999
Given numbers has no common factors except 1. So, there LCM is their product i.e 3987003
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 997,3999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,3999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,3999) x common factors =1 x 1 = 1
LCM(997,3999) = ( 997 × 3999 ) / 1
LCM(997,3999) = 3987003 / 1
LCM(997,3999) = 3987003
Lets's calculate GCF of 86,244
2 | 86, 244 |
43, 122 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3987003/2
Therefore the LCM of Fractions 997/86,3999/244 is 3987003/2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 86,244 . The biggest common factor number is the GCF number.
So the greatest common factor 86,244 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 997/86, 3999/244?
Answer: LCM of Numerators as per given numbers 997/86, 3999/244 is
LCM of Numerators i.e. for 997,3999 is 3987003
GCF of denominators i.e. for 86,244 is 2.
Thus, LCM of Fractions is 3987003/2.Finally, LCM of Fractions for 997/86, 3999/244 is 3987003/2.