Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/891, 45/105 quickly i.e. 45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/891, 45/105 is 45.
LCM(27/891, 45/105) = 45
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/891,45/105
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
Least Common Multiple of Numerators i.e. LCM of 27,45 is 135.
GCF of Denominators means GCF of 891,105 as per the given fractions.
GCF of 891,105 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,45
3 | 27, 45 |
3 | 9, 15 |
3, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 = 135
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 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,45) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(27,45) x common factors =9 x 1 = 9
LCM(27,45) = ( 27 × 45 ) / 9
LCM(27,45) = 1215 / 9
LCM(27,45) = 135
Lets's calculate GCF of 891,105
3 | 891, 105 |
297, 35 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135/3
Therefore the LCM of Fractions 27/891,45/105 is 45
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 891,105 . The biggest common factor number is the GCF number.
So the greatest common factor 891,105 is 3.
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 27/891, 45/105?
Answer: LCM of Numerators as per given numbers 27/891, 45/105 is
LCM of Numerators i.e. for 27,45 is 135
GCF of denominators i.e. for 891,105 is 3.
Thus, LCM of Fractions is 45.Finally, LCM of Fractions for 27/891, 45/105 is 45.