Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/461, 45/615, 477/735 quickly i.e. 7155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/461, 45/615, 477/735 is 7155.
LCM(27/461, 45/615, 477/735) = 7155
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/461,45/615,477/735
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 27,45,477
Least Common Multiple of Numerators i.e. LCM of 27,45,477 is 7155.
GCF of Denominators means GCF of 461,615,735 as per the given fractions.
GCF of 461,615,735 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,45,477
3 | 27, 45, 477 |
3 | 9, 15, 159 |
3, 5, 53 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 53 = 7155
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 27,45,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,45,477) = 9
common factors(in case of two or more numbers have common factors) = 9
GCF(27,45,477) x common factors =9 x 9 = 81
LCM(27,45,477) = ( 27 × 45 × 477 ) / 81
LCM(27,45,477) = 579555 / 81
LCM(27,45,477) = 7155
Lets's calculate GCF of 461,615,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7155/1
Therefore the LCM of Fractions 27/461,45/615,477/735 is 7155
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 461,615,735 . The biggest common factor number is the GCF number.
So the greatest common factor 461,615,735 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 27/461, 45/615, 477/735?
Answer: LCM of Numerators as per given numbers 27/461, 45/615, 477/735 is
LCM of Numerators i.e. for 27,45,477 is 7155
GCF of denominators i.e. for 461,615,735 is 1.
Thus, LCM of Fractions is 7155.Finally, LCM of Fractions for 27/461, 45/615, 477/735 is 7155.