Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/106, 73/823, 593/194 quickly i.e. 779202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/106, 73/823, 593/194 is 779202.
LCM(18/106, 73/823, 593/194) = 779202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/106,73/823,593/194
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 18,73,593
Least Common Multiple of Numerators i.e. LCM of 18,73,593 is 779202.
GCF of Denominators means GCF of 106,823,194 as per the given fractions.
GCF of 106,823,194 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,73,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 779202
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 18,73,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,73,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,73,593) x common factors =1 x 1 = 1
LCM(18,73,593) = ( 18 × 73 × 593 ) / 1
LCM(18,73,593) = 779202 / 1
LCM(18,73,593) = 779202
Lets's calculate GCF of 106,823,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 779202/1
Therefore the LCM of Fractions 18/106,73/823,593/194 is 779202
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 106,823,194 . The biggest common factor number is the GCF number.
So the greatest common factor 106,823,194 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 18/106, 73/823, 593/194?
Answer: LCM of Numerators as per given numbers 18/106, 73/823, 593/194 is
LCM of Numerators i.e. for 18,73,593 is 779202
GCF of denominators i.e. for 106,823,194 is 1.
Thus, LCM of Fractions is 779202.Finally, LCM of Fractions for 18/106, 73/823, 593/194 is 779202.