Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/919, 43/998, 801/943 quickly i.e. 1412163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/919, 43/998, 801/943 is 1412163.
LCM(41/919, 43/998, 801/943) = 1412163
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/919,43/998,801/943
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 41,43,801
Least Common Multiple of Numerators i.e. LCM of 41,43,801 is 1412163.
GCF of Denominators means GCF of 919,998,943 as per the given fractions.
GCF of 919,998,943 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,43,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 1412163
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 41,43,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,43,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,43,801) x common factors =1 x 1 = 1
LCM(41,43,801) = ( 41 × 43 × 801 ) / 1
LCM(41,43,801) = 1412163 / 1
LCM(41,43,801) = 1412163
Lets's calculate GCF of 919,998,943
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1412163/1
Therefore the LCM of Fractions 41/919,43/998,801/943 is 1412163
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Greatest Common Factor
We found the factors 919,998,943 . The biggest common factor number is the GCF number.
So the greatest common factor 919,998,943 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 41/919, 43/998, 801/943?
Answer: LCM of Numerators as per given numbers 41/919, 43/998, 801/943 is
LCM of Numerators i.e. for 41,43,801 is 1412163
GCF of denominators i.e. for 919,998,943 is 1.
Thus, LCM of Fractions is 1412163.Finally, LCM of Fractions for 41/919, 43/998, 801/943 is 1412163.