LCD of 135, 161, 459 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 135, 161, 459 i.e. 369495 smallest integer divisible by all numbers.

LCD of 135, 161, 459 is 369495

LCD(135, 161, 459) = 369495

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

LCD of

LCD of numbers 135, 161, 459 is 369495

LCD(135, 161, 459) = 369495

LCD of 135,161,459 Calculator

LCD of 135,161,459 is 369495

Arrange the Inputs 135,161,459 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.

3 135, 161, 459
3 45, 161, 153
3 15, 161, 51
5, 161, 17

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 3 x 3 x 5 x 161 x 17 = 369495

Therefore, LCD of 135,161,459 is 369495

Finding LCD of 135,161,459 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(135, 161) = 1

LCD(135, 161) = ( 135 x 161 ) / 1

LCD(135, 161) = 21735 / 1

LCD(135, 161) = 21735


Step2:

Here we consider the LCD from the above i.e. 21735 as first number and the next as 459

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

GCF(21735, 459) = 27

LCD(21735, 459) = ( 21735 x 459 ) / 27

LCD(21735, 459) = 9976365 / 27

LCD(21735, 459) = 369495

LCD of 135,161,459 is 369495

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 135, 161, 459

1. What is the LCD of 135, 161, 459?

Answer: LCD of 135, 161, 459 is 369495.

2. How to find LCD of 135, 161, 459 on a calculator?

Answer: You can find LCD of 135, 161, 459 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 135, 161, 459?

Least Common Denominator of 135, 161, 459.

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(135, 161, 459) = 369495.