Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/806, 264/272, 623/549 quickly i.e. 493416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/806, 264/272, 623/549 is 493416.
LCM(18/806, 264/272, 623/549) = 493416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/806,264/272,623/549
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 18,264,623
Least Common Multiple of Numerators i.e. LCM of 18,264,623 is 493416.
GCF of Denominators means GCF of 806,272,549 as per the given fractions.
GCF of 806,272,549 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,264,623
2 | 18, 264, 623 |
3 | 9, 132, 623 |
3, 44, 623 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 44 x 623 = 493416
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 18,264,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,264,623) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(18,264,623) x common factors =1 x 6 = 6
LCM(18,264,623) = ( 18 × 264 × 623 ) / 6
LCM(18,264,623) = 2960496 / 6
LCM(18,264,623) = 493416
Lets's calculate GCF of 806,272,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493416/1
Therefore the LCM of Fractions 18/806,264/272,623/549 is 493416
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 806,272,549 . The biggest common factor number is the GCF number.
So the greatest common factor 806,272,549 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 18/806, 264/272, 623/549?
Answer: LCM of Numerators as per given numbers 18/806, 264/272, 623/549 is
LCM of Numerators i.e. for 18,264,623 is 493416
GCF of denominators i.e. for 806,272,549 is 1.
Thus, LCM of Fractions is 493416.Finally, LCM of Fractions for 18/806, 264/272, 623/549 is 493416.