LCD of 723, 546, 744 Calculator

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 723, 546, 744 i.e. 16316664 smallest integer divisible by all numbers.

LCD of 723, 546, 744 is 16316664

LCD(723, 546, 744) = 16316664

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

LCD of

LCD of numbers 723, 546, 744 is 16316664

LCD(723, 546, 744) = 16316664

LCD of 723,546,744 Calculator

LCD of 723,546,744 is 16316664

Arrange the Inputs 723,546,744 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.

2 723, 546, 744
3 723, 273, 372
241, 91, 124

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 3 x 241 x 91 x 124 = 16316664

Therefore, LCD of 723,546,744 is 16316664

Finding LCD of 723,546,744 using GCF Formula

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(723, 546) = 3

LCD(723, 546) = ( 723 x 546 ) / 3

LCD(723, 546) = 394758 / 3

LCD(723, 546) = 131586


Step2:

Here we consider the LCD from the above i.e. 131586 as first number and the next as 744

The formula of LCD is LCD(a,b) = ( a x b) / GCF(a,b)

GCF(131586, 744) = 6

LCD(131586, 744) = ( 131586 x 744 ) / 6

LCD(131586, 744) = 97899984 / 6

LCD(131586, 744) = 16316664

LCD of 723,546,744 is 16316664

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 723, 546, 744

1. What is the LCD of 723, 546, 744?

Answer: LCD of 723, 546, 744 is 16316664.

2. How to find LCD of 723, 546, 744 on a calculator?

Answer: You can find LCD of 723, 546, 744 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 723, 546, 744?

Least Common Denominator of 723, 546, 744.

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(723, 546, 744) = 16316664.