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 209, 604, 752 i.e. 23732368 smallest integer divisible by all numbers.
LCD of 209, 604, 752 is 23732368
LCD(209, 604, 752) = 23732368
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
LCD of numbers 209, 604, 752 is 23732368
LCD(209, 604, 752) = 23732368
Arrange the Inputs 209,604,752 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.
2 | 209, 604, 752 |
2 | 209, 302, 376 |
209, 151, 188 |
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. 2 x 2 x 209 x 151 x 188 = 23732368
Therefore, LCD of 209,604,752 is 23732368
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(209, 604) = 1
LCD(209, 604) = ( 209 x 604 ) / 1
LCD(209, 604) = 126236 / 1
LCD(209, 604) = 126236
Step2:
Here we consider the LCD from the above i.e. 126236 as first number and the next as 752
The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)
GCF(126236, 752) = 4
LCD(126236, 752) = ( 126236 x 752 ) / 4
LCD(126236, 752) = 94929472 / 4
LCD(126236, 752) = 23732368
LCD of 209,604,752 is 23732368
Here are some samples of LCD of Numbers calculations.
1. What is the LCD of 209, 604, 752?
Answer: LCD of 209, 604, 752 is 23732368.
2. How to find LCD of 209, 604, 752 on a calculator?
Answer: You can find LCD of 209, 604, 752 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 209, 604, 752?
Least Common Denominator of 209, 604, 752.
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(209, 604, 752) = 23732368.