Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/82, 37/29, 819/117 quickly i.e. 60606 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, 37/29, 819/117 is 60606.
LCM(74/82, 37/29, 819/117) = 60606
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/82,37/29,819/117
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 74,37,819
Least Common Multiple of Numerators i.e. LCM of 74,37,819 is 60606.
GCF of Denominators means GCF of 82,29,117 as per the given fractions.
GCF of 82,29,117 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,37,819
37 | 74, 37, 819 |
2, 1, 819 |
∴ So the LCM of the given numbers is 37 x 2 x 1 x 819 = 60606
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 74,37,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,37,819) = 1
common factors(in case of two or more numbers have common factors) = 37
GCF(74,37,819) x common factors =1 x 37 = 37
LCM(74,37,819) = ( 74 × 37 × 819 ) / 37
LCM(74,37,819) = 2242422 / 37
LCM(74,37,819) = 60606
Lets's calculate GCF of 82,29,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60606/1
Therefore the LCM of Fractions 74/82,37/29,819/117 is 60606
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors 82,29,117 . The biggest common factor number is the GCF number.
So the greatest common factor 82,29,117 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, 37/29, 819/117?
Answer: LCM of Numerators as per given numbers 74/82, 37/29, 819/117 is
LCM of Numerators i.e. for 74,37,819 is 60606
GCF of denominators i.e. for 82,29,117 is 1.
Thus, LCM of Fractions is 60606.Finally, LCM of Fractions for 74/82, 37/29, 819/117 is 60606.