Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/565, 498/391, 489/739 quickly i.e. 730566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/565, 498/391, 489/739 is 730566.
LCM(27/565, 498/391, 489/739) = 730566
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/565,498/391,489/739
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 27,498,489
Least Common Multiple of Numerators i.e. LCM of 27,498,489 is 730566.
GCF of Denominators means GCF of 565,391,739 as per the given fractions.
GCF of 565,391,739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,498,489
3 | 27, 498, 489 |
9, 166, 163 |
∴ So the LCM of the given numbers is 3 x 9 x 166 x 163 = 730566
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 27,498,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,498,489) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(27,498,489) x common factors =3 x 3 = 9
LCM(27,498,489) = ( 27 × 498 × 489 ) / 9
LCM(27,498,489) = 6575094 / 9
LCM(27,498,489) = 730566
Lets's calculate GCF of 565,391,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 730566/1
Therefore the LCM of Fractions 27/565,498/391,489/739 is 730566
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 565,391,739 . The biggest common factor number is the GCF number.
So the greatest common factor 565,391,739 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 27/565, 498/391, 489/739?
Answer: LCM of Numerators as per given numbers 27/565, 498/391, 489/739 is
LCM of Numerators i.e. for 27,498,489 is 730566
GCF of denominators i.e. for 565,391,739 is 1.
Thus, LCM of Fractions is 730566.Finally, LCM of Fractions for 27/565, 498/391, 489/739 is 730566.