Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/83, 364/55, 486/585 quickly i.e. 88452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/83, 364/55, 486/585 is 88452.
LCM(243/83, 364/55, 486/585) = 88452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/83,364/55,486/585
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 243,364,486
Least Common Multiple of Numerators i.e. LCM of 243,364,486 is 88452.
GCF of Denominators means GCF of 83,55,585 as per the given fractions.
GCF of 83,55,585 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,364,486
2 | 243, 364, 486 |
3 | 243, 182, 243 |
3 | 81, 182, 81 |
3 | 27, 182, 27 |
3 | 9, 182, 9 |
3 | 3, 182, 3 |
1, 182, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 3 x 1 x 182 x 1 = 88452
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 243,364,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,364,486) = 1
common factors(in case of two or more numbers have common factors) = 486
GCF(243,364,486) x common factors =1 x 486 = 486
LCM(243,364,486) = ( 243 × 364 × 486 ) / 486
LCM(243,364,486) = 42987672 / 486
LCM(243,364,486) = 88452
Lets's calculate GCF of 83,55,585
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88452/1
Therefore the LCM of Fractions 243/83,364/55,486/585 is 88452
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 83,55,585 . The biggest common factor number is the GCF number.
So the greatest common factor 83,55,585 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 243/83, 364/55, 486/585?
Answer: LCM of Numerators as per given numbers 243/83, 364/55, 486/585 is
LCM of Numerators i.e. for 243,364,486 is 88452
GCF of denominators i.e. for 83,55,585 is 1.
Thus, LCM of Fractions is 88452.Finally, LCM of Fractions for 243/83, 364/55, 486/585 is 88452.