Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/41, 87/12, 30/495 quickly i.e. 13920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/41, 87/12, 30/495 is 13920.
LCM(96/41, 87/12, 30/495) = 13920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/41,87/12,30/495
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 96,87,30
Least Common Multiple of Numerators i.e. LCM of 96,87,30 is 13920.
GCF of Denominators means GCF of 41,12,495 as per the given fractions.
GCF of 41,12,495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,87,30
2 | 96, 87, 30 |
3 | 48, 87, 15 |
16, 29, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 29 x 5 = 13920
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 96,87,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,87,30) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(96,87,30) x common factors =3 x 6 = 18
LCM(96,87,30) = ( 96 × 87 × 30 ) / 18
LCM(96,87,30) = 250560 / 18
LCM(96,87,30) = 13920
Lets's calculate GCF of 41,12,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13920/1
Therefore the LCM of Fractions 96/41,87/12,30/495 is 13920
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 41,12,495 . The biggest common factor number is the GCF number.
So the greatest common factor 41,12,495 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 96/41, 87/12, 30/495?
Answer: LCM of Numerators as per given numbers 96/41, 87/12, 30/495 is
LCM of Numerators i.e. for 96,87,30 is 13920
GCF of denominators i.e. for 41,12,495 is 1.
Thus, LCM of Fractions is 13920.Finally, LCM of Fractions for 96/41, 87/12, 30/495 is 13920.