Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/82, 73/17, 59/74, 93/933 quickly i.e. 29640774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/82, 73/17, 59/74, 93/933 is 29640774.
LCM(74/82, 73/17, 59/74, 93/933) = 29640774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/82,73/17,59/74,93/933
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 74,73,59,93
Least Common Multiple of Numerators i.e. LCM of 74,73,59,93 is 29640774.
GCF of Denominators means GCF of 82,17,74,933 as per the given fractions.
GCF of 82,17,74,933 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,73,59,93
Given numbers has no common factors except 1. So, there LCM is their product i.e 29640774
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 74,73,59,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,73,59,93) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,73,59,93) x common factors =1 x 1 = 1
LCM(74,73,59,93) = ( 74 × 73 × 59 × 93 ) / 1
LCM(74,73,59,93) = 29640774 / 1
LCM(74,73,59,93) = 29640774
Lets's calculate GCF of 82,17,74,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29640774/1
Therefore the LCM of Fractions 74/82,73/17,59/74,93/933 is 29640774
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 82,17,74,933 . The biggest common factor number is the GCF number.
So the greatest common factor 82,17,74,933 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 74/82, 73/17, 59/74, 93/933?
Answer: LCM of Numerators as per given numbers 74/82, 73/17, 59/74, 93/933 is
LCM of Numerators i.e. for 74,73,59,93 is 29640774
GCF of denominators i.e. for 82,17,74,933 is 1.
Thus, LCM of Fractions is 29640774.Finally, LCM of Fractions for 74/82, 73/17, 59/74, 93/933 is 29640774.