Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/642, 82/497, 560/582 quickly i.e. 665840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/642, 82/497, 560/582 is 665840.
LCM(29/642, 82/497, 560/582) = 665840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/642,82/497,560/582
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 29,82,560
Least Common Multiple of Numerators i.e. LCM of 29,82,560 is 665840.
GCF of Denominators means GCF of 642,497,582 as per the given fractions.
GCF of 642,497,582 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,82,560
2 | 29, 82, 560 |
29, 41, 280 |
∴ So the LCM of the given numbers is 2 x 29 x 41 x 280 = 665840
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 29,82,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,82,560) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,82,560) x common factors =1 x 2 = 2
LCM(29,82,560) = ( 29 × 82 × 560 ) / 2
LCM(29,82,560) = 1331680 / 2
LCM(29,82,560) = 665840
Lets's calculate GCF of 642,497,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 665840/1
Therefore the LCM of Fractions 29/642,82/497,560/582 is 665840
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 642,497,582 . The biggest common factor number is the GCF number.
So the greatest common factor 642,497,582 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 29/642, 82/497, 560/582?
Answer: LCM of Numerators as per given numbers 29/642, 82/497, 560/582 is
LCM of Numerators i.e. for 29,82,560 is 665840
GCF of denominators i.e. for 642,497,582 is 1.
Thus, LCM of Fractions is 665840.Finally, LCM of Fractions for 29/642, 82/497, 560/582 is 665840.