Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 997/66, 867/2541 quickly i.e. 864399/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 997/66, 867/2541 is 864399/33.
LCM(997/66, 867/2541) = 864399/33
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 997/66,867/2541
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 997,867
Least Common Multiple of Numerators i.e. LCM of 997,867 is 864399.
GCF of Denominators means GCF of 66,2541 as per the given fractions.
GCF of 66,2541 is 33 as it is the largest common factor for these numbers.
Lets's calculate LCM of 997,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 864399
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 997,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,867) x common factors =1 x 1 = 1
LCM(997,867) = ( 997 × 867 ) / 1
LCM(997,867) = 864399 / 1
LCM(997,867) = 864399
Lets's calculate GCF of 66,2541
3 | 66, 2541 |
11 | 22, 847 |
2, 77 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864399/33
Therefore the LCM of Fractions 997/66,867/2541 is 864399/33
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 2541
List of positive integer factors of 2541 that divides 2541 without a remainder.
1,3,7,11,21,33,77,121,231,363,847,2541
Greatest Common Factor
We found the factors 66,2541 . The biggest common factor number is the GCF number.
So the greatest common factor 66,2541 is 33.
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 997/66, 867/2541?
Answer: LCM of Numerators as per given numbers 997/66, 867/2541 is
LCM of Numerators i.e. for 997,867 is 864399
GCF of denominators i.e. for 66,2541 is 33.
Thus, LCM of Fractions is 864399/33.Finally, LCM of Fractions for 997/66, 867/2541 is 864399/33.