LCD of 509, 456, 640 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 509, 456, 640 i.e. 18568320 smallest integer divisible by all numbers.

LCD of 509, 456, 640 is 18568320

LCD(509, 456, 640) = 18568320

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

LCD of

LCD of numbers 509, 456, 640 is 18568320

LCD(509, 456, 640) = 18568320

LCD of 509,456,640 Calculator

LCD of 509,456,640 is 18568320

Arrange the Inputs 509,456,640 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.

2 509, 456, 640
2 509, 228, 320
2 509, 114, 160
509, 57, 80

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 509 x 57 x 80 = 18568320

Therefore, LCD of 509,456,640 is 18568320

Finding LCD of 509,456,640 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(509, 456) = 1

LCD(509, 456) = ( 509 x 456 ) / 1

LCD(509, 456) = 232104 / 1

LCD(509, 456) = 232104


Step2:

Here we consider the LCD from the above i.e. 232104 as first number and the next as 640

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

GCF(232104, 640) = 8

LCD(232104, 640) = ( 232104 x 640 ) / 8

LCD(232104, 640) = 148546560 / 8

LCD(232104, 640) = 18568320

LCD of 509,456,640 is 18568320

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 509, 456, 640

1. What is the LCD of 509, 456, 640?

Answer: LCD of 509, 456, 640 is 18568320.

2. How to find LCD of 509, 456, 640 on a calculator?

Answer: You can find LCD of 509, 456, 640 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 509, 456, 640?

Least Common Denominator of 509, 456, 640.

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(509, 456, 640) = 18568320.