Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of LCD Calculator to determine the Least Common Denominator of 27, 96, 13 i.e. 11232 smallest integer divisible by all numbers.
LCD of 27, 96, 13 is 11232
LCD(27, 96, 13) = 11232
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 27, 96, 13 is 11232
LCD(27, 96, 13) = 11232
Arrange the Inputs 27,96,13 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.
3 | 27, 96, 13 |
9, 32, 13 |
As all the numbers left in the last row are co primes you need not do the common division process further.
To obtain the Least Common Denominator, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 3 x 9 x 32 x 13 = 11232
Therefore, LCD of 27,96,13 is 11232
Step1:
Let's calculate the LCD of first two numbers
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(27, 96) = 3
LCD(27, 96) = ( 27 x 96 ) / 3
LCD(27, 96) = 2592 / 3
LCD(27, 96) = 864
Step2:
Here we consider the LCD from the above i.e. 864 as first number and the next as 13
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(864, 13) = 1
LCD(864, 13) = ( 864 x 13 ) / 1
LCD(864, 13) = 11232 / 1
LCD(864, 13) = 11232
LCD of 27,96,13 is 11232
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 27, 96, 13?
Answer: LCD of 27, 96, 13 is 11232.
2. How to find LCD of 27, 96, 13 on a calculator?
Answer: You can find LCD of 27, 96, 13 by simply giving the inputs in the input field and clicking on the Calculator button next to it to get the concerned Least Common Denominator.
3. How to Find the LCD of 27, 96, 13?
Least Common Denominator of 27, 96, 13.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCD(27, 96, 13) = 11232.