Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/93, 289/21, 756/99 quickly i.e. 655452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/93, 289/21, 756/99 is 655452.
LCM(243/93, 289/21, 756/99) = 655452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/93,289/21,756/99
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 243,289,756
Least Common Multiple of Numerators i.e. LCM of 243,289,756 is 1966356.
GCF of Denominators means GCF of 93,21,99 as per the given fractions.
GCF of 93,21,99 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,289,756
3 | 243, 289, 756 |
3 | 81, 289, 252 |
3 | 27, 289, 84 |
9, 289, 28 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 9 x 289 x 28 = 1966356
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 243,289,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,289,756) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(243,289,756) x common factors =1 x 27 = 27
LCM(243,289,756) = ( 243 × 289 × 756 ) / 27
LCM(243,289,756) = 53091612 / 27
LCM(243,289,756) = 1966356
Lets's calculate GCF of 93,21,99
3 | 93, 21, 99 |
31, 7, 33 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1966356/3
Therefore the LCM of Fractions 243/93,289/21,756/99 is 655452
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 93,21,99 . The biggest common factor number is the GCF number.
So the greatest common factor 93,21,99 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 243/93, 289/21, 756/99?
Answer: LCM of Numerators as per given numbers 243/93, 289/21, 756/99 is
LCM of Numerators i.e. for 243,289,756 is 1966356
GCF of denominators i.e. for 93,21,99 is 3.
Thus, LCM of Fractions is 655452.Finally, LCM of Fractions for 243/93, 289/21, 756/99 is 655452.