Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 101/38, 997/6094 quickly i.e. 100697/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 101/38, 997/6094 is 100697/2.
LCM(101/38, 997/6094) = 100697/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 101/38,997/6094
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 101,997
Least Common Multiple of Numerators i.e. LCM of 101,997 is 100697.
GCF of Denominators means GCF of 38,6094 as per the given fractions.
GCF of 38,6094 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 101,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 100697
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 101,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,997) x common factors =1 x 1 = 1
LCM(101,997) = ( 101 × 997 ) / 1
LCM(101,997) = 100697 / 1
LCM(101,997) = 100697
Lets's calculate GCF of 38,6094
2 | 38, 6094 |
19, 3047 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100697/2
Therefore the LCM of Fractions 101/38,997/6094 is 100697/2
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 6094
List of positive integer factors of 6094 that divides 6094 without a remainder.
1,2,11,22,277,554,3047,6094
Greatest Common Factor
We found the factors 38,6094 . The biggest common factor number is the GCF number.
So the greatest common factor 38,6094 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 101/38, 997/6094?
Answer: LCM of Numerators as per given numbers 101/38, 997/6094 is
LCM of Numerators i.e. for 101,997 is 100697
GCF of denominators i.e. for 38,6094 is 2.
Thus, LCM of Fractions is 100697/2.Finally, LCM of Fractions for 101/38, 997/6094 is 100697/2.