Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/11, 43/56, 12/44, 87/585 quickly i.e. 74820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/11, 43/56, 12/44, 87/585 is 74820.
LCM(15/11, 43/56, 12/44, 87/585) = 74820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/11,43/56,12/44,87/585
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 15,43,12,87
Least Common Multiple of Numerators i.e. LCM of 15,43,12,87 is 74820.
GCF of Denominators means GCF of 11,56,44,585 as per the given fractions.
GCF of 11,56,44,585 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,43,12,87
3 | 15, 43, 12, 87 |
5, 43, 4, 29 |
∴ So the LCM of the given numbers is 3 x 5 x 43 x 4 x 29 = 74820
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 15,43,12,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,43,12,87) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(15,43,12,87) x common factors =1 x 9 = 9
LCM(15,43,12,87) = ( 15 × 43 × 12 × 87 ) / 9
LCM(15,43,12,87) = 673380 / 9
LCM(15,43,12,87) = 74820
Lets's calculate GCF of 11,56,44,585
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74820/1
Therefore the LCM of Fractions 15/11,43/56,12/44,87/585 is 74820
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 11,56,44,585 . The biggest common factor number is the GCF number.
So the greatest common factor 11,56,44,585 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 15/11, 43/56, 12/44, 87/585?
Answer: LCM of Numerators as per given numbers 15/11, 43/56, 12/44, 87/585 is
LCM of Numerators i.e. for 15,43,12,87 is 74820
GCF of denominators i.e. for 11,56,44,585 is 1.
Thus, LCM of Fractions is 74820.Finally, LCM of Fractions for 15/11, 43/56, 12/44, 87/585 is 74820.