Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/680, 405/340, 228/535 quickly i.e. 6156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/680, 405/340, 228/535 is 6156.
LCM(27/680, 405/340, 228/535) = 6156
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/680,405/340,228/535
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 27,405,228
Least Common Multiple of Numerators i.e. LCM of 27,405,228 is 30780.
GCF of Denominators means GCF of 680,340,535 as per the given fractions.
GCF of 680,340,535 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,405,228
3 | 27, 405, 228 |
3 | 9, 135, 76 |
3 | 3, 45, 76 |
1, 15, 76 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 15 x 76 = 30780
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 27,405,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,405,228) = 3
common factors(in case of two or more numbers have common factors) = 27
GCF(27,405,228) x common factors =3 x 27 = 81
LCM(27,405,228) = ( 27 × 405 × 228 ) / 81
LCM(27,405,228) = 2493180 / 81
LCM(27,405,228) = 30780
Lets's calculate GCF of 680,340,535
5 | 680, 340, 535 |
136, 68, 107 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30780/5
Therefore the LCM of Fractions 27/680,405/340,228/535 is 6156
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 680,340,535 . The biggest common factor number is the GCF number.
So the greatest common factor 680,340,535 is 5.
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 27/680, 405/340, 228/535?
Answer: LCM of Numerators as per given numbers 27/680, 405/340, 228/535 is
LCM of Numerators i.e. for 27,405,228 is 30780
GCF of denominators i.e. for 680,340,535 is 5.
Thus, LCM of Fractions is 6156.Finally, LCM of Fractions for 27/680, 405/340, 228/535 is 6156.