Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/17, 12/36, 93/85, 26/321 quickly i.e. 96720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/17, 12/36, 93/85, 26/321 is 96720.
LCM(80/17, 12/36, 93/85, 26/321) = 96720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/17,12/36,93/85,26/321
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 80,12,93,26
Least Common Multiple of Numerators i.e. LCM of 80,12,93,26 is 96720.
GCF of Denominators means GCF of 17,36,85,321 as per the given fractions.
GCF of 17,36,85,321 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,12,93,26
2 | 80, 12, 93, 26 |
2 | 40, 6, 93, 13 |
3 | 20, 3, 93, 13 |
20, 1, 31, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 1 x 31 x 13 = 96720
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 80,12,93,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,12,93,26) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(80,12,93,26) x common factors =1 x 24 = 24
LCM(80,12,93,26) = ( 80 × 12 × 93 × 26 ) / 24
LCM(80,12,93,26) = 2321280 / 24
LCM(80,12,93,26) = 96720
Lets's calculate GCF of 17,36,85,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96720/1
Therefore the LCM of Fractions 80/17,12/36,93/85,26/321 is 96720
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 17,36,85,321 . The biggest common factor number is the GCF number.
So the greatest common factor 17,36,85,321 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 80/17, 12/36, 93/85, 26/321?
Answer: LCM of Numerators as per given numbers 80/17, 12/36, 93/85, 26/321 is
LCM of Numerators i.e. for 80,12,93,26 is 96720
GCF of denominators i.e. for 17,36,85,321 is 1.
Thus, LCM of Fractions is 96720.Finally, LCM of Fractions for 80/17, 12/36, 93/85, 26/321 is 96720.