Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/799, 91/647, 413/404 quickly i.e. 397306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/799, 91/647, 413/404 is 397306.
LCM(74/799, 91/647, 413/404) = 397306
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/799,91/647,413/404
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 74,91,413
Least Common Multiple of Numerators i.e. LCM of 74,91,413 is 397306.
GCF of Denominators means GCF of 799,647,404 as per the given fractions.
GCF of 799,647,404 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,91,413
7 | 74, 91, 413 |
74, 13, 59 |
∴ So the LCM of the given numbers is 7 x 74 x 13 x 59 = 397306
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 74,91,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,91,413) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(74,91,413) x common factors =1 x 7 = 7
LCM(74,91,413) = ( 74 × 91 × 413 ) / 7
LCM(74,91,413) = 2781142 / 7
LCM(74,91,413) = 397306
Lets's calculate GCF of 799,647,404
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397306/1
Therefore the LCM of Fractions 74/799,91/647,413/404 is 397306
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 799,647,404 . The biggest common factor number is the GCF number.
So the greatest common factor 799,647,404 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 74/799, 91/647, 413/404?
Answer: LCM of Numerators as per given numbers 74/799, 91/647, 413/404 is
LCM of Numerators i.e. for 74,91,413 is 397306
GCF of denominators i.e. for 799,647,404 is 1.
Thus, LCM of Fractions is 397306.Finally, LCM of Fractions for 74/799, 91/647, 413/404 is 397306.