Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/341, 22/479, 491/745 quickly i.e. 399674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/341, 22/479, 491/745 is 399674.
LCM(74/341, 22/479, 491/745) = 399674
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/341,22/479,491/745
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 74,22,491
Least Common Multiple of Numerators i.e. LCM of 74,22,491 is 399674.
GCF of Denominators means GCF of 341,479,745 as per the given fractions.
GCF of 341,479,745 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,22,491
2 | 74, 22, 491 |
37, 11, 491 |
∴ So the LCM of the given numbers is 2 x 37 x 11 x 491 = 399674
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 74,22,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,22,491) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,22,491) x common factors =1 x 2 = 2
LCM(74,22,491) = ( 74 × 22 × 491 ) / 2
LCM(74,22,491) = 799348 / 2
LCM(74,22,491) = 399674
Lets's calculate GCF of 341,479,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399674/1
Therefore the LCM of Fractions 74/341,22/479,491/745 is 399674
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 341,479,745 . The biggest common factor number is the GCF number.
So the greatest common factor 341,479,745 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 74/341, 22/479, 491/745?
Answer: LCM of Numerators as per given numbers 74/341, 22/479, 491/745 is
LCM of Numerators i.e. for 74,22,491 is 399674
GCF of denominators i.e. for 341,479,745 is 1.
Thus, LCM of Fractions is 399674.Finally, LCM of Fractions for 74/341, 22/479, 491/745 is 399674.