Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/27, 8/15, 51/84, 21/581 quickly i.e. 2856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/27, 8/15, 51/84, 21/581 is 2856.
LCM(1/27, 8/15, 51/84, 21/581) = 2856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/27,8/15,51/84,21/581
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 1,8,51,21
Least Common Multiple of Numerators i.e. LCM of 1,8,51,21 is 2856.
GCF of Denominators means GCF of 27,15,84,581 as per the given fractions.
GCF of 27,15,84,581 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,8,51,21
3 | 1, 8, 51, 21 |
1, 8, 17, 7 |
∴ So the LCM of the given numbers is 3 x 1 x 8 x 17 x 7 = 2856
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 1,8,51,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,8,51,21) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(1,8,51,21) x common factors =1 x 3 = 3
LCM(1,8,51,21) = ( 1 × 8 × 51 × 21 ) / 3
LCM(1,8,51,21) = 8568 / 3
LCM(1,8,51,21) = 2856
Lets's calculate GCF of 27,15,84,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2856/1
Therefore the LCM of Fractions 1/27,8/15,51/84,21/581 is 2856
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 27,15,84,581 . The biggest common factor number is the GCF number.
So the greatest common factor 27,15,84,581 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 1/27, 8/15, 51/84, 21/581?
Answer: LCM of Numerators as per given numbers 1/27, 8/15, 51/84, 21/581 is
LCM of Numerators i.e. for 1,8,51,21 is 2856
GCF of denominators i.e. for 27,15,84,581 is 1.
Thus, LCM of Fractions is 2856.Finally, LCM of Fractions for 1/27, 8/15, 51/84, 21/581 is 2856.