LCD of 300, 432, 309 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 300, 432, 309 i.e. 1112400 smallest integer divisible by all numbers.

LCD of 300, 432, 309 is 1112400

LCD(300, 432, 309) = 1112400

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

LCD of

LCD of numbers 300, 432, 309 is 1112400

LCD(300, 432, 309) = 1112400

LCD of 300,432,309 Calculator

LCD of 300,432,309 is 1112400

Arrange the Inputs 300,432,309 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.

2 300, 432, 309
2 150, 216, 309
3 75, 108, 309
25, 36, 103

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 3 x 25 x 36 x 103 = 1112400

Therefore, LCD of 300,432,309 is 1112400

Finding LCD of 300,432,309 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(300, 432) = 12

LCD(300, 432) = ( 300 x 432 ) / 12

LCD(300, 432) = 129600 / 12

LCD(300, 432) = 10800


Step2:

Here we consider the LCD from the above i.e. 10800 as first number and the next as 309

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

GCF(10800, 309) = 3

LCD(10800, 309) = ( 10800 x 309 ) / 3

LCD(10800, 309) = 3337200 / 3

LCD(10800, 309) = 1112400

LCD of 300,432,309 is 1112400

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 300, 432, 309

1. What is the LCD of 300, 432, 309?

Answer: LCD of 300, 432, 309 is 1112400.

2. How to find LCD of 300, 432, 309 on a calculator?

Answer: You can find LCD of 300, 432, 309 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 300, 432, 309?

Least Common Denominator of 300, 432, 309.

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(300, 432, 309) = 1112400.