Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/566, 93/550, 542/273 quickly i.e. 2016240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/566, 93/550, 542/273 is 2016240.
LCM(80/566, 93/550, 542/273) = 2016240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/566,93/550,542/273
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 80,93,542
Least Common Multiple of Numerators i.e. LCM of 80,93,542 is 2016240.
GCF of Denominators means GCF of 566,550,273 as per the given fractions.
GCF of 566,550,273 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,93,542
2 | 80, 93, 542 |
40, 93, 271 |
∴ So the LCM of the given numbers is 2 x 40 x 93 x 271 = 2016240
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 80,93,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,93,542) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(80,93,542) x common factors =1 x 2 = 2
LCM(80,93,542) = ( 80 × 93 × 542 ) / 2
LCM(80,93,542) = 4032480 / 2
LCM(80,93,542) = 2016240
Lets's calculate GCF of 566,550,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2016240/1
Therefore the LCM of Fractions 80/566,93/550,542/273 is 2016240
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 566,550,273 . The biggest common factor number is the GCF number.
So the greatest common factor 566,550,273 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 80/566, 93/550, 542/273?
Answer: LCM of Numerators as per given numbers 80/566, 93/550, 542/273 is
LCM of Numerators i.e. for 80,93,542 is 2016240
GCF of denominators i.e. for 566,550,273 is 1.
Thus, LCM of Fractions is 2016240.Finally, LCM of Fractions for 80/566, 93/550, 542/273 is 2016240.