Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/15, 33/28, 36/93, 44/257 quickly i.e. 11484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/15, 33/28, 36/93, 44/257 is 11484.
LCM(87/15, 33/28, 36/93, 44/257) = 11484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/15,33/28,36/93,44/257
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 87,33,36,44
Least Common Multiple of Numerators i.e. LCM of 87,33,36,44 is 11484.
GCF of Denominators means GCF of 15,28,93,257 as per the given fractions.
GCF of 15,28,93,257 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,33,36,44
2 | 87, 33, 36, 44 |
2 | 87, 33, 18, 22 |
3 | 87, 33, 9, 11 |
11 | 29, 11, 3, 11 |
29, 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 29 x 1 x 3 x 1 = 11484
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 87,33,36,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,33,36,44) = 1
common factors(in case of two or more numbers have common factors) = 396
GCF(87,33,36,44) x common factors =1 x 396 = 396
LCM(87,33,36,44) = ( 87 × 33 × 36 × 44 ) / 396
LCM(87,33,36,44) = 4547664 / 396
LCM(87,33,36,44) = 11484
Lets's calculate GCF of 15,28,93,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11484/1
Therefore the LCM of Fractions 87/15,33/28,36/93,44/257 is 11484
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 15,28,93,257 . The biggest common factor number is the GCF number.
So the greatest common factor 15,28,93,257 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 87/15, 33/28, 36/93, 44/257?
Answer: LCM of Numerators as per given numbers 87/15, 33/28, 36/93, 44/257 is
LCM of Numerators i.e. for 87,33,36,44 is 11484
GCF of denominators i.e. for 15,28,93,257 is 1.
Thus, LCM of Fractions is 11484.Finally, LCM of Fractions for 87/15, 33/28, 36/93, 44/257 is 11484.