LCD of 744, 218, 960 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 744, 218, 960 i.e. 3243840 smallest integer divisible by all numbers.

LCD of 744, 218, 960 is 3243840

LCD(744, 218, 960) = 3243840

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

LCD of

LCD of numbers 744, 218, 960 is 3243840

LCD(744, 218, 960) = 3243840

LCD of 744,218,960 Calculator

LCD of 744,218,960 is 3243840

Arrange the Inputs 744,218,960 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.

2 744, 218, 960
2 372, 109, 480
2 186, 109, 240
3 93, 109, 120
31, 109, 40

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 2 x 3 x 31 x 109 x 40 = 3243840

Therefore, LCD of 744,218,960 is 3243840

Finding LCD of 744,218,960 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(744, 218) = 2

LCD(744, 218) = ( 744 x 218 ) / 2

LCD(744, 218) = 162192 / 2

LCD(744, 218) = 81096


Step2:

Here we consider the LCD from the above i.e. 81096 as first number and the next as 960

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

GCF(81096, 960) = 24

LCD(81096, 960) = ( 81096 x 960 ) / 24

LCD(81096, 960) = 77852160 / 24

LCD(81096, 960) = 3243840

LCD of 744,218,960 is 3243840

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 744, 218, 960

1. What is the LCD of 744, 218, 960?

Answer: LCD of 744, 218, 960 is 3243840.

2. How to find LCD of 744, 218, 960 on a calculator?

Answer: You can find LCD of 744, 218, 960 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 744, 218, 960?

Least Common Denominator of 744, 218, 960.

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(744, 218, 960) = 3243840.