Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/75, 84/93, 243/477 quickly i.e. 29484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/75, 84/93, 243/477 is 29484.
LCM(39/75, 84/93, 243/477) = 29484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/75,84/93,243/477
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 39,84,243
Least Common Multiple of Numerators i.e. LCM of 39,84,243 is 88452.
GCF of Denominators means GCF of 75,93,477 as per the given fractions.
GCF of 75,93,477 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,84,243
3 | 39, 84, 243 |
13, 28, 81 |
∴ So the LCM of the given numbers is 3 x 13 x 28 x 81 = 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 39,84,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,84,243) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(39,84,243) x common factors =3 x 3 = 9
LCM(39,84,243) = ( 39 × 84 × 243 ) / 9
LCM(39,84,243) = 796068 / 9
LCM(39,84,243) = 88452
Lets's calculate GCF of 75,93,477
3 | 75, 93, 477 |
25, 31, 159 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88452/3
Therefore the LCM of Fractions 39/75,84/93,243/477 is 29484
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 75,93,477 . The biggest common factor number is the GCF number.
So the greatest common factor 75,93,477 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 39/75, 84/93, 243/477?
Answer: LCM of Numerators as per given numbers 39/75, 84/93, 243/477 is
LCM of Numerators i.e. for 39,84,243 is 88452
GCF of denominators i.e. for 75,93,477 is 3.
Thus, LCM of Fractions is 29484.Finally, LCM of Fractions for 39/75, 84/93, 243/477 is 29484.