Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/18, 983/93, 841/899 quickly i.e. 79363488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/18, 983/93, 841/899 is 79363488.
LCM(96/18, 983/93, 841/899) = 79363488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/18,983/93,841/899
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 96,983,841
Least Common Multiple of Numerators i.e. LCM of 96,983,841 is 79363488.
GCF of Denominators means GCF of 18,93,899 as per the given fractions.
GCF of 18,93,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,983,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 79363488
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 96,983,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,983,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,983,841) x common factors =1 x 1 = 1
LCM(96,983,841) = ( 96 × 983 × 841 ) / 1
LCM(96,983,841) = 79363488 / 1
LCM(96,983,841) = 79363488
Lets's calculate GCF of 18,93,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79363488/1
Therefore the LCM of Fractions 96/18,983/93,841/899 is 79363488
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 18,93,899 . The biggest common factor number is the GCF number.
So the greatest common factor 18,93,899 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 96/18, 983/93, 841/899?
Answer: LCM of Numerators as per given numbers 96/18, 983/93, 841/899 is
LCM of Numerators i.e. for 96,983,841 is 79363488
GCF of denominators i.e. for 18,93,899 is 1.
Thus, LCM of Fractions is 79363488.Finally, LCM of Fractions for 96/18, 983/93, 841/899 is 79363488.