Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/538, 73/463, 83/104 quickly i.e. 48472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/538, 73/463, 83/104 is 48472.
LCM(8/538, 73/463, 83/104) = 48472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/538,73/463,83/104
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 8,73,83
Least Common Multiple of Numerators i.e. LCM of 8,73,83 is 48472.
GCF of Denominators means GCF of 538,463,104 as per the given fractions.
GCF of 538,463,104 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,73,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 48472
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 8,73,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,73,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,73,83) x common factors =1 x 1 = 1
LCM(8,73,83) = ( 8 × 73 × 83 ) / 1
LCM(8,73,83) = 48472 / 1
LCM(8,73,83) = 48472
Lets's calculate GCF of 538,463,104
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48472/1
Therefore the LCM of Fractions 8/538,73/463,83/104 is 48472
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 538,463,104 . The biggest common factor number is the GCF number.
So the greatest common factor 538,463,104 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 8/538, 73/463, 83/104?
Answer: LCM of Numerators as per given numbers 8/538, 73/463, 83/104 is
LCM of Numerators i.e. for 8,73,83 is 48472
GCF of denominators i.e. for 538,463,104 is 1.
Thus, LCM of Fractions is 48472.Finally, LCM of Fractions for 8/538, 73/463, 83/104 is 48472.