Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/90, 93/21, 26/441 quickly i.e. 32240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/90, 93/21, 26/441 is 32240.
LCM(80/90, 93/21, 26/441) = 32240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/90,93/21,26/441
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 80,93,26
Least Common Multiple of Numerators i.e. LCM of 80,93,26 is 96720.
GCF of Denominators means GCF of 90,21,441 as per the given fractions.
GCF of 90,21,441 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,93,26
2 | 80, 93, 26 |
40, 93, 13 |
∴ So the LCM of the given numbers is 2 x 40 x 93 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 80,93,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,93,26) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(80,93,26) x common factors =1 x 2 = 2
LCM(80,93,26) = ( 80 × 93 × 26 ) / 2
LCM(80,93,26) = 193440 / 2
LCM(80,93,26) = 96720
Lets's calculate GCF of 90,21,441
3 | 90, 21, 441 |
30, 7, 147 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96720/3
Therefore the LCM of Fractions 80/90,93/21,26/441 is 32240
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 90,21,441 . The biggest common factor number is the GCF number.
So the greatest common factor 90,21,441 is 3.
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 80/90, 93/21, 26/441?
Answer: LCM of Numerators as per given numbers 80/90, 93/21, 26/441 is
LCM of Numerators i.e. for 80,93,26 is 96720
GCF of denominators i.e. for 90,21,441 is 3.
Thus, LCM of Fractions is 32240.Finally, LCM of Fractions for 80/90, 93/21, 26/441 is 32240.