Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/82, 36/17, 99/55, 30/642 quickly i.e. 15840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/82, 36/17, 99/55, 30/642 is 15840.
LCM(96/82, 36/17, 99/55, 30/642) = 15840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/82,36/17,99/55,30/642
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 96,36,99,30
Least Common Multiple of Numerators i.e. LCM of 96,36,99,30 is 15840.
GCF of Denominators means GCF of 82,17,55,642 as per the given fractions.
GCF of 82,17,55,642 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,36,99,30
2 | 96, 36, 99, 30 |
2 | 48, 18, 99, 15 |
3 | 24, 9, 99, 15 |
3 | 8, 3, 33, 5 |
8, 1, 11, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 8 x 1 x 11 x 5 = 15840
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 96,36,99,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,36,99,30) = 3
common factors(in case of two or more numbers have common factors) = 216
GCF(96,36,99,30) x common factors =3 x 216 = 648
LCM(96,36,99,30) = ( 96 × 36 × 99 × 30 ) / 648
LCM(96,36,99,30) = 10264320 / 648
LCM(96,36,99,30) = 15840
Lets's calculate GCF of 82,17,55,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15840/1
Therefore the LCM of Fractions 96/82,36/17,99/55,30/642 is 15840
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 82,17,55,642 . The biggest common factor number is the GCF number.
So the greatest common factor 82,17,55,642 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 96/82, 36/17, 99/55, 30/642?
Answer: LCM of Numerators as per given numbers 96/82, 36/17, 99/55, 30/642 is
LCM of Numerators i.e. for 96,36,99,30 is 15840
GCF of denominators i.e. for 82,17,55,642 is 1.
Thus, LCM of Fractions is 15840.Finally, LCM of Fractions for 96/82, 36/17, 99/55, 30/642 is 15840.