LCD of 549, 144, 320 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 549, 144, 320 i.e. 175680 smallest integer divisible by all numbers.

LCD of 549, 144, 320 is 175680

LCD(549, 144, 320) = 175680

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

LCD of

LCD of numbers 549, 144, 320 is 175680

LCD(549, 144, 320) = 175680

LCD of 549,144,320 Calculator

LCD of 549,144,320 is 175680

Arrange the Inputs 549,144,320 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.

2 549, 144, 320
2 549, 72, 160
2 549, 36, 80
2 549, 18, 40
3 549, 9, 20
3 183, 3, 20
61, 1, 20

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 2 x 3 x 3 x 61 x 1 x 20 = 175680

Therefore, LCD of 549,144,320 is 175680

Finding LCD of 549,144,320 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(549, 144) = 9

LCD(549, 144) = ( 549 x 144 ) / 9

LCD(549, 144) = 79056 / 9

LCD(549, 144) = 8784


Step2:

Here we consider the LCD from the above i.e. 8784 as first number and the next as 320

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

GCF(8784, 320) = 16

LCD(8784, 320) = ( 8784 x 320 ) / 16

LCD(8784, 320) = 2810880 / 16

LCD(8784, 320) = 175680

LCD of 549,144,320 is 175680

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 549, 144, 320

1. What is the LCD of 549, 144, 320?

Answer: LCD of 549, 144, 320 is 175680.

2. How to find LCD of 549, 144, 320 on a calculator?

Answer: You can find LCD of 549, 144, 320 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 549, 144, 320?

Least Common Denominator of 549, 144, 320.

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(549, 144, 320) = 175680.