LCD of 69, 231, 165 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 69, 231, 165 i.e. 26565 smallest integer divisible by all numbers.

LCD of 69, 231, 165 is 26565

LCD(69, 231, 165) = 26565

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

LCD of

LCD of numbers 69, 231, 165 is 26565

LCD(69, 231, 165) = 26565

LCD of 69,231,165 Calculator

LCD of 69,231,165 is 26565

Arrange the Inputs 69,231,165 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.

3 69, 231, 165
11 23, 77, 55
23, 7, 5

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. 3 x 11 x 23 x 7 x 5 = 26565

Therefore, LCD of 69,231,165 is 26565

Finding LCD of 69,231,165 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(69, 231) = 3

LCD(69, 231) = ( 69 x 231 ) / 3

LCD(69, 231) = 15939 / 3

LCD(69, 231) = 5313


Step2:

Here we consider the LCD from the above i.e. 5313 as first number and the next as 165

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

GCF(5313, 165) = 33

LCD(5313, 165) = ( 5313 x 165 ) / 33

LCD(5313, 165) = 876645 / 33

LCD(5313, 165) = 26565

LCD of 69,231,165 is 26565

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 69, 231, 165

1. What is the LCD of 69, 231, 165?

Answer: LCD of 69, 231, 165 is 26565.

2. How to find LCD of 69, 231, 165 on a calculator?

Answer: You can find LCD of 69, 231, 165 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 69, 231, 165?

Least Common Denominator of 69, 231, 165.

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(69, 231, 165) = 26565.