LCD of 208, 429, 460 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 208, 429, 460 i.e. 789360 smallest integer divisible by all numbers.

LCD of 208, 429, 460 is 789360

LCD(208, 429, 460) = 789360

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

LCD of

LCD of numbers 208, 429, 460 is 789360

LCD(208, 429, 460) = 789360

LCD of 208,429,460 Calculator

LCD of 208,429,460 is 789360

Arrange the Inputs 208,429,460 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.

2 208, 429, 460
2 104, 429, 230
13 52, 429, 115
4, 33, 115

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 13 x 4 x 33 x 115 = 789360

Therefore, LCD of 208,429,460 is 789360

Finding LCD of 208,429,460 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(208, 429) = 13

LCD(208, 429) = ( 208 x 429 ) / 13

LCD(208, 429) = 89232 / 13

LCD(208, 429) = 6864


Step2:

Here we consider the LCD from the above i.e. 6864 as first number and the next as 460

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

GCF(6864, 460) = 4

LCD(6864, 460) = ( 6864 x 460 ) / 4

LCD(6864, 460) = 3157440 / 4

LCD(6864, 460) = 789360

LCD of 208,429,460 is 789360

LCD of Numbers Calculation Examples

Frequently Asked Questions on LCD of 208, 429, 460

1. What is the LCD of 208, 429, 460?

Answer: LCD of 208, 429, 460 is 789360.

2. How to find LCD of 208, 429, 460 on a calculator?

Answer: You can find LCD of 208, 429, 460 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 208, 429, 460?

Least Common Denominator of 208, 429, 460.

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(208, 429, 460) = 789360.